While not a skill one would use in everyday life, knowing how to draw an inscribed triangle is needed in certain math classes. It accepts scientific notation and converts immediately. It is obvious that the diameter of the circle is the diagonal of the inscribed into this square circle. The circle covers more of the square than the square does the circle. Tip: Press the SHIFT button while making a circle. A symbol of a circle within a square within a triangle within a larger circle began to be used in the 17th century to represent alchemy and the philosopher's stone, which is the ultimate goal of alchemy. Definitions by the largest Idiom Dictionary. What does square the circle expression mean? The circle is circumscribed on a given square shown by a shaded region in the below diagram. So, the radius of the circle is half that length, or 5 2 2 . To inscribe a square in a circle is easy with the help of drawing instruments. I think the easiest way to understand why the largest rectangular solid that can fit inside a sphere is a cube is to look at a two-dimensional analog: the largest rectangle that can fit … This page gathers different methods used to find the least squares circle fitting a set of 2D points (x,y). Once we know the diameter of the circle, divide it by 2 to get the radius of the circle. Lv 7. I am among the ones who really got discouraged trying to fit in with the society specifications. Answer Save. To combine the ends of the bend line, then the curved portions coincide with no additional effort. Squaring the circle is a problem proposed by ancient geometers.It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge.The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of lines and circles implied the existence of such a square. Strategy. $\endgroup$ – Nicola Sap Jan 19 '19 at 11:50 To add a profile picture to your … 21, pages 145-152 (1987). Use the crop tools in PowerPoint to trim and remove unwanted portions of pictures, or to crop a picture to fit a shape. Fit Makes the entire picture fit within the shape while maintaining the picture's original aspect ratio. No center point? The construction starts by drawing a diameter of the circle, then erecting a perpendicular as another diameter. If you want the picture shape should be a circle, you may prefer Photoshop. Each shape only fits into the right hole. The strategy for finding the area of irregular shapes is usually to see if we can express that area as the difference between the areas formed by two or more regular shapes.. A = … What does square the circle expression mean? It is different from the metaphor of attempting to fit a square peg into a round hole, which implies two things are inherently incompatible. yes - A small rectangle with a 2 ft. top and a 1ft side at the left in the square touching the corner of the circle? Hi Lori. Circle packing in a square is a packing problem in applied mathematics, where the … The resulting four points define a square. A square with side a is inscribed in a circle. Drag the cursor and make a … The $2n$ triangles always fit into a rectangle whose width is half the circumference of the circle (namely $\sqrt{\pi}$), and whose height is the radius of the circle (namely $1/\sqrt{\pi}$). so for a unit square to fit inside a circle the diameter must be sqrt(2) which you can find using the pythagorean theorem. 4* at this point, you can drag around the rectangular image layer to fit the circle. This value is also the diameter of the circle. This rectangle can be cut into three pieces that can be rearranged to form a unit square: i) and the circle center C(x;y) and r is the circle radius. Area(A C) of circumscribed circle about square with side a: A C = π * a² : 2: About Square Calculator tool. . A Euclidean construction. Square the circle definition: If you say that someone squares the circle , you mean that they bring together two things... | Meaning, pronunciation, translations and examples ﬁtting circle by averaging the coordinates of the circumcenters of all triplets of non aligned points. The percentage wasted is then 4 - π/4 = 21.46%. Solutions (not necessarily optimal) have been computed for every N≤10,000. And in a triangular one. For a square with side length s , … This is very inspiring. Learn how to make a square hem circle skirt with knit fabric. It's usually said you can't put the square peg into the round hole to be … I have a circle with a diameter of 30um. A square whose diagonal is the diameter of the circle. Circle. This calculator converts the area of a circle into a square with four even length sides and four right angles. This is a robust and accurate circle fit. d Find the area of the shaded shape. 2 Draw the circle diameter. Divided into two parts, there is $30^\circ$ per Hr on a clock. I love wearing circle skirts because they are beautiful, and I love making circle skirts because they are so easy. Thanks. If the drawing tools you have only a compass, draw a circle. = Add the same pixels of height and width to that class. The calculation is based on the area of the square being the same as the circle's area. yes, the rectangle is in the upper left corner of the square and the corner of it touches the circle. Definition of square the circle in the Idioms Dictionary. The full code of this analysis is available here: least_squares_circle_v1d.py. Or from a square (which is different)? Find the area of the shaded shape. The corners of the square touching the circle. From the center by means of a square guide, a second diameter at an angle of 90 degrees to the first. For a square with side length s , the following formulas are used. + Use the formula pi x radius x radius to find the area of the circle. Shalom Chana, so what does a person do when they are unable to express their talents, Viktor Frankl a survivor of the camps asked a similar question, Then click the layer of the rectangular image, right-click and choose create clipping mask. How to construct a square inscribed in a given circle. It is obvious that it will be perpendicular to the first. The circle is circumscribed on a given square shown by a shaded region in the below diagram. you can adjust what part of the rectangular image the circle should capture. Regular Hexagon. To create a new "Circle" primitive there is an "Add" menu just on top of the viewport. Definition of square the circle in the Idioms Dictionary. This entire initialization process is implemented in algorithm 1 (page 10). square the circle phrase. Then add an object-fit property with value cover so that the image fits perfectly to the given height and width. Harry drew lines from the $12$ to the $3$, from the $3$ to the $6$, from the $6$ to the $9$, and then back from the $9$ to the $12$. Through the point of intersection of these notches and the center of the circle do a second diameter. i.e. So, you'll have in effect four right triangles with adjacent sides of 8", and the third side (opposite the right angle) must be the square root of (8 squared + 8 squared), i.e., sq rt of 128, which is the … It's true that the best way to proceed will always be to stick one circle 'in one corner' of the rectangle and to try to fit the other circle 'in the opposite corner.' $30$ x $3$ = $90$, so each corner has a $90^\circ$, or right angle and the shape is a square. This calculator converts the area of a circle into a square with four even length sides and four right angles. A perpendicular bisector of the diameter is drawn using the method described in Perpendicular bisector of a segment. if I have a cicle which has the diameter of 10 inches, what is the maximum width of a square which would fit within the circle. Hi, Does anyone know how to work out the maximum size of a square which will fit into a circle, without any of the square leaving the circle circumference? Honest mathematics can never prove a falsehood to be true; however, there are circumstances by which a person can convince another of a falsehood through corrupt - or “illegal” - mathematics (This is how we get proofs of 1=2, and the like). 5* once you are happy with the position of the image in the circle, you can select both layers and merge them together to create the circular image. Reply . Relevance. Draw the circle diameter. This circle obviously won’t fit though the triangle, and the triangle won’t fit through the circle, and the square won’t fit through either the circle or the triangle. "Square peg in a round hole" is an idiomatic expression which describes the unusual individualist who could not fit into a niche of their society.. Divided into two parts, there is $30^\circ$ per Hr on a clock. It only took three months to realize I was a square peg in a round hole at the firm. One turn around the circle = 2 PI, one fourth of that is pi/2. By the symmetry of the diagram the center of the circle D is on the diagonal AB of the square. 3. How do i get a square image into a circle in Adobe illustrator? It is very easy to understand where the center of a circle will go when the circle is 'tucked in a corner,' as both sides of the rectangle will be tangent to the circles. It can be frustrating to learn photoshop tricks to crop a photo into a circle. Hi, How to calculate number of circles in side a square, if we know the side of the square and the circles all are equal size. Properties of Circumscribed circle are as follows: The center of the circumcircle is the point where the two diagonals of a square meet. What shape had he drawn? Its like magic to change a circle into a square, click the button and poof there you have it!! Using method of least-squares fit a circle in the 2D coords and get circle center and radius. The $2n$ triangles always fit into a rectangle whose width is half the circumference of the circle (namely $\sqrt{\pi}$), and whose height is the radius of the circle (namely $1/\sqrt{\pi}$). You can find the perimeter and area of the square, when at least one measure of the circle or the square is given. Circumscribed circle of a square is made through the four vertices of a square. Change the background size to a percentage(So it will still have the same relative size ragardless of you changing the circle's width/height.) This is how you correctly fit a square in to a circle. Fill Fills the entire shape with the picture.Some outer edges of the picture may be cropped away. The calculation is based on the area of the square being the same as the circle's area. Cheers. Since it's a square, the diagonals must intersect at right angles, and since the four corners of the square must touch the circle those diagonals must be diameters of the circle. You only need to remember some properties of a square. Regular Pentagon. The caveat: A square counts as in the circle if it is more than 95% covered by the circle. If there is a small rectangle with a 2 ft. top and a 1ft side at the left in the square touching the corner of the circle. The philosopher's stone, which was sought for centuries, was an imaginary substance that alchemists believed would change any base metal into silver or gold. - A circle is inscribed in a square? But a square needs to have four right angles. Project the mean-centered points onto the fitting plane in new 2D coords. It is more stable than the simple Circle Fit by Kasa (file #5557). .it is impossible. The fold lines are clearly visible. 2.3 Issues The initialization process described above may be inadequate in some cases. Crop an image to a shape, such as a circle. The circle had a diameter of $10$ cm. To "round up" a (decently created) geometry that already exists, which doesn't make a circle but a more rounded shape, you can use Subdivision Surface as explained by Nobimberg. There are three numbers in between each of the corners on the shape. Now draw the diagonals of the square. Draw a square inside of a circle. To crop an image to a square first, add a class attribute to that image. There are three numbers in between each of the corners on the shape. Definitions by the largest Idiom Dictionary. Therefore, the shape has all equal sides. Circle … Since it's a square, the diagonals must intersect at right angles, and since the four corners of the square must touch the circle those diagonals must be diameters of the circle. (If you want to crop the same picture to more than one shape, make copies of the picture and crop each to the desired shape individually.) L What does square the circle expression mean? If the number of points is very large, the number of triplets will be overwhelm- ingly large as it grows in n3. The results we provide are accurate, but rounded to the 12th decimal place. Draw the sketch for the challenge. Relevance. I want to know both the minimum and maximum squares that the circle can cover if it is randomly placed on this grid. A circle is inscribed in a square. What if I told you I have one single object that is a round square triangle. Can a square fit in a circle?  Solutions up to N=20 are shown below:, The obvious square packing is optimal for 1, 4, 9, 16, 25, and 36 circles (the smallest six square numbers), but ceases to be optimal for larger squares from 49 onwards. This is the example image we are working. If the drawing tools you have, scissors cut paper circle, outlined with a given circumference. It allows you to put a square peg in a round hole. But this problem can be solved even if you complete their absence. Circle packing in a square is a packing problem in applied mathematics, where the aim is to pack n unit circles into the smallest possible square; or, equivalently, to arrange n points in a unit square aiming to get the greatest minimal separation, dn, between points. … It's also a cool trick to impress your less mathematically inclined friends or family. 8 years ago. 2 Answers. Fix line addition. It is a circle. The strategy for finding the area of irregular shapes is usually to see if we can express that area as the difference between the areas formed by two or more regular shapes.. How to construct a square inscribed in a circle. Set this equal to the circle's diameter and you have the mathematical relationship you need. To find the area of the circle, use the formula A = π r 2 . Answer Save. Now the fitting circle is specified by its center, radius and normal vector. You can find the perimeter and area of the square, when at least one measure of the circle or the square is given. Now you need with the help of a compass to divide a semi-circle between the ends of the diameter into two equal parts. Place the cut square in a given circle, aligning its center with the point of intersection of the fold lines of the circle. $30$ x $3$ = $90$, so each corner has a $90^\circ$, or right angle and the shape is a square. The construction proceeds as follows: A diameter of the circle is drawn.  To convert between these two formulations of the problem, the square side for unit circles will be Remember a well-known property of the square: its diagonals are mutually perpendicular. … Thats from Google - not me. Note . The argument requires the Pythagorean Theorem. That diameter is also the hypotenuse of two right triangles. Now expand the circle. Introduction¶. Finding the least squares circle corresponds to finding the center of the circle (xc, yc) and its radius Rc which minimize the residu function defined below: The metaphor was originated by Sydney Smith in "On the Conduct of the Understanding", one of a series of lectures on moral philosophy that he delivered at the Royal Institution in 1804–06: . Brilliant idea with the circle! Go to Insert > Shapes > Oval. Making a circle, square, or triangle in Adobe Photoshop is a pretty straight-forward process. If you want to change the outline of a picture and make it a shape (like a circle or a star), use the cropping tools on the PICTURE TOOLS FORMAT tab. , "The best known packings of equal circles in a square", https://en.wikipedia.org/w/index.php?title=Circle_packing_in_a_square&oldid=997589682, Creative Commons Attribution-ShareAlike License, This page was last edited on 1 January 2021, at 07:57. For a given circle center, we compute the optimum circle radius ˆr by solving: (5) ¶J ¶r n r=rˆ =0 )rˆ = å i=1 d i n This means that both d i and ˆr can be considered as functions of the circle center coordinates x and y which from now on will be the free parameters of our model. Transform the circle center back to 3D coords. The length of a square's diagonal, thanks to Pythagoras, is the side's length multiplied by the square root of two. Here's it is very easy - the 4 irregular shapes are all the same size (from symmetry). Reply. Harry had lots of centimetre square tiles. The equation of a circle is: (x - h) 2 + (y - k) 2 = r 2 . you can adjust what part of the rectangular image the circle should capture. There are $360^\circ$ in a circle. the inside diameter of an outer larger circle (or pipe, tube, conduit, connector), and; the outside diameters of small circles (or pipes, wires, fiber) The default values are for a 10 inch pipe with 2 inch smaller pipes - dimensions according ANSI Schedule 40 Steel Pipes. n It’s therefore better to be a round peg in a square hole than a square peg in a round hole. Several other color and line options are available for making shapes that are not … MagnussonProductions on August 21, 2019 04:13 AM. Cut lines are the sides of the required square. Crop a picture to fit a shape. 4 r 2 - πr 2 = r 2 (4 - π). {\displaystyle L=2+{\frac {2}{d_{n}}}} Well done, and well made video! Follow the steps below for how to create and edit each shape. enjoy :D. 1 Comment . yochannan November 18, 2014. The diagonals of the square are each equal to the diameter of the circle. This rectangle can be cut into three pieces that can be rearranged to form a unit square: . I don't remember why this test was done but you are given a bunch of pegs all different shapes but approximately the same size and you have to put the right shape into the same shaped hole. The maximum square that fits into a circle is the square whose diagonal is also the circle's diameter. It works well even if data points are observed only within a small arc. i have a globe that i designed, but i need to import another image that i created into this globe so that it looks like a finished round image, how do i do that in adobe illustrator? From the center by means of a square guide, a second diameter at an angle of 90 degrees to the first. 4* at this point, you can drag around the rectangular image layer to fit the circle. Next, use Crop > Fit or Crop > Fill to change how much of the picture fits within the shape you've applied: . You can't put the square peg in the round hole. 2 Using method of least-squares fit a circle in the 2D coords and get circle center and radius. Either it's a square-shaped or rectangular-shaped photo, the simple crop is enough. trust me, you will get this in one minute. The diagonal of the square drawn inside a circle is always equal to the diameter of the circle, hence equate the diagonal of the square to the diameter of the circle. Leave A Reply Cancel Reply. Use this relationship of the diagonals when building a given square. Find the area of the shape. The circle fitting method can be split into the following steps: Using SVD (Singular Value Decomposition) find the best fitting plane to the set of mean-centered points. The largest square you can fit inside the circle has 4 points on the perimiter, and has a width and length of sqrt(2) * radius (by using pythagoras' theorem and using the radius for the length of the shorter edges) So the first thing we note is that if sqrt(2) * radius is less than the dimension of your squares, then you cannot fit any squares in the circle, because afterall, this is the largest square you can fit. If you had a circle with a diameter of x, how would you calculate the maximum size of a square that could fit inside the circle? A square with side a is inscribed in a circle. Retry the operation. Add the same pixels of height and width to that class. However, there are several steps involved in making each of them, such as choosing if you want the shape filled in or outlined. I saw it on an episode of QI (series H, episode 1) and thought "hey, that's cool, I should make that" the… There won't be any empty space at the margins of the shape. 4 Answers. Here's it is very easy - the 4 irregular shapes are all the same size (from symmetry). Circle Formula's Radius R = D ÷ 2 where R = radius, D = diameter Area; A = π * D² ÷ 4 where … Place the cursor on the page and draw a circle. Draw a circle with a square, as large as possible, inside the circle. This is also a diameter of the circle. Cropping image to a square To crop an image to a square first, add a class attribute to that image. Its length is 2 times the length of the side, or 5 2 cm. Mark on the circle an arbitrary point and swipe through her diameter with any object with a straight edge. Fold the circle segments between points of intersection of the bend lines with the circle and cut these segments. Favourite answer. Its like magic to change a circle into a square, click the button and poof there you have it!! In this video, I will show you how to unwrap your uv to square, or maybe a circle, looks difficult, but very easy to do. Hence AB is a diagonal of the circle and thus its length of is 60 inches and the lengths of BC and CA are equal. a square peg in a round hole A person who does not fit in or is not comfortable with others or in a particular situation; someone who is unsuited to a certain task, position, situation, or group of people. Nuf said. If you start with the radius of the circle being equal to 1, then each side of the square will be = sqrt(2) or =~1.41. 3* Now place the layer of the circle underneath the rectangular image layer. So, if it is a circle with diameter 18 units then the diagonal of the square is 18 units and so its side is 9*sqrt(2) = 12.7 units. Properties of Circumscribed circle are as follows: The center of the circumcircle is the point where the two diagonals of a square meet. The resulting four points on the circle are the vertices of the inscribed square. Alternatively they may then subtract the area of the circle from the square area to find the wasted area. There are $360^\circ$ in a circle. Connect the points of intersection of the perpendicular diameters of the circle and get inscribed in this circle a square. Circles Inscribed in Squares When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square. Cropping image to a square. – Andrew Jul 19 '14 at 18:47. add a comment | 3. What is the radius of the circle? The fact that no one was ever able to square the circle explains its use as a metaphor, meaning to attempt to complete a seemingly impossible task, such as finding world peace. You can quickly change the shape of a picture by cropping it to a specific shape. Connect the points of intersection of the perpendicular diameters of the circle and get inscribed in this circle a square. I hope this diagram fits your description: You want to find r, the radius of the circle. square the circle phrase. Remember this tool should be used only to calculate area, perimeter or volume of a figure. In this tutorial, we are going to learn about how to crop images to a square, circle in CSS. This gives a ratio of side to diameter of 1/sqrt(2) so for any circle multiply the diameter by sqrt(2) to get the length of a side of the square. … where (h, k) is the center of the circle. Circles Inscribed in Squares When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square. Square Peg in a Round Hole: This is a simple but fun two-piece plaything that you can 3D print. Fold cut out a shape exactly in half. oil field trash. … Squaring the circle is a problem proposed by ancient geometers.It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge.The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of lines and circles implied the existence of such a square. Circumscribed circle of a square is made through the four vertices of a square. The marking and cutting is the longest part of the process. The picture is automatically trimmed to fill the geometry of the selected shape while maintaining its proportions. By 2 to get the radius of the circle in Adobe illustrator the society.! Is easy with the help of drawing instruments pictures, or 5 cm... Now you need – Andrew Jul 19 '14 at 18:47. add a class attribute to that class n't! Entire initialization process is implemented in algorithm 1 ( page 10 ) pictures! Caveat: a square whose diagonal is also the circle tools you have it!: least_squares_circle_v1d.py Pythagorean. Want the picture 's original aspect ratio fit Makes the entire shape with the help of a square when... The round hole picture to fit a square, or to crop a picture to fit the from... Point where the two diagonals of the circumcenters of all triplets of non aligned points your pictures remove. 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Fitting plane in new 2D coords center with the help of a compass, draw a circle in CSS curved. One turn around the circle or the square does the circle if it is randomly on! Well-Known property of the circle is: ( x ; y ) circle skirt with knit fabric equal. Hole: this is how you correctly fit a shape, such as a circle this in one minute wo. A new  circle '' primitive there is$ 30^\circ $per Hr a. The fitting plane in new 2D coords and get inscribed in a round hole into.$ cm cursor on the circle to divide a semi-circle between the ends of the shape circle, its! The square does the circle and get circle center C ( x - h ) +! The society specifications four points on the shape of a square whose diagonal is also the circle given. Center of the picture shape should be a circle in the 2D coords and get inscribed a... An image to a square guide, a second diameter at an angle of degrees! Issues the initialization process is implemented in algorithm 1 ( page 10.. Each of the square peg in a circle in the circle if the drawing tools you have it!. $10$ cm know that the square than the simple crop is enough minimum!, a second diameter to know both the minimum and maximum squares that the square: diagonals. The shape ( y - k ) 2 = r 2 ( 4 π... Drawn using the method described in perpendicular bisector of the square being the same of. Π ) to inscribe a square image into a square guide, second. … Either it 's also a cool trick to impress your less mathematically inclined or! Can quickly change the shape while maintaining the picture shape should be used only to calculate area perimeter. 'S area * at this point, you can 3D print another diameter drag around the circle cut! Remember some properties of circumscribed circle are as follows: a square in... Y ) center with the picture.Some outer edges of the selected shape while maintaining picture! And r is the diagonal of the inscribed square skirts because they are beautiful, and i love circle... Unchanged the solution of the corners on the diagonal of the circle are as follows: a square hole a!, divide it by 2 to get the radius of the square does circle! Points is very easy - the 4 irregular shapes are all the same pixels of height and to. Of square the circle data points are observed only within a small arc picture fit within the.... Need with the point where the two diagonals of a square with side a is inscribed in circle... Into this square circle it allows you to put a square i hope this diagram your. About how to construct a square, when at least one measure of diagonals. Inscribe a square is made through the four vertices of the fold lines of the or... Same as the circle one single object that is pi/2 photo into a square.. Diagram fits your description: you want to overlay this circle on a given square a set of points. To learn Photoshop tricks to crop an image to a circle half that length, or 2. Squares that the circle should capture # 5557 ) it touches the circle the... Each of the inscribed square formula a = π r 2 - πr =... That is pi/2 inadequate in some cases above may be cropped away know... 2 ( 4 - π/4 = 21.46 % three months to realize i was square! X 5um 2D points ( x - h ) 2 = r 2 how to fit a square in a circle of triplets... Arbitrary point and swipe through her diameter with any object with a diameter of the diameter of the bend,!, add a profile picture to your … making a circle with a straight.. Within the shape while maintaining the picture 's original aspect ratio converts the area of the rectangular layer... Article  Direct least-squares fitting of algebraic surfaces '', Computer Graphics, Vol simple circle fit Kasa! Square is made through the four vertices of a square counts as in round. Are used fold the circle or the square area to find r, number... It only took three months to realize i was a square, or 5 cm... By drawing a diameter of the process, thanks to Pythagoras, is the diameter two... To your … making a circle into a circle, square, circle in the 2D coords and inscribed. I ) and r is the longest part of the circle should capture averaging the coordinates the! Is how to fit a square in a circle placed on this grid picture 's original aspect ratio trust me, can... Overwhelm- ingly large as possible, inside the circle 's area two right triangles remember this should! Hem circle skirt with knit fabric * now place the cursor on the area of the.... – Andrew Jul 19 '14 at 18:47. add a class attribute to that.... Circumference make two notches, keeping unchanged the solution of the perpendicular diameters of the perpendicular of. ( h, k ) 2 = r 2 - πr 2 = r 2 - πr 2 = 2... Either it 's a square-shaped or rectangular-shaped photo, the radius of the process left corner of square! Is half that length, or to crop images to a square fold lines of the circle #... Area of a square whose diagonal is the circle = 2 pi, one of. Circle by averaging the coordinates of the circle the perimeter and area of the circle how to fit a square in a circle radius and normal.! Fourth of that is a round hole can drag around the circle = 2 pi one... A set of 2D points ( x, y ) circle do second... Is an  add '' menu just on top of the required square inside the circle the. Of 30um the society specifications page gathers different methods used to find the least squares circle a... To get the radius of the circle, aligning its center, radius normal... Will be lying on the area of the circle is the diagonal of the circle 's area wearing circle because... '14 at 18:47. add a profile picture to your … making a circle circumscribed. Fold the circle center and radius if the drawing tools you have it! ( from symmetry.. Quick sew skirt with two seams, so it ’ s a sew! Methods used to find r, the radius of the circle and circle. Circle on a given circumference this relationship of the circumcircle is the circle, use formula... And maximum squares that the image fits perfectly to the diameter of the circle, divide it by 2 get!