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How to find the area of a circle with a square inside with its side length given? |
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Answer» Using the side length of the square, find the diagonal (and hence the diameter of the circle) of the square, and then apply the area formula of the circle to find its area. Asquarethat fits snuglyinsideacircleis inscribedinthecircle. Thesquare'scorners will touch, but not intersect, thecircle'sboundary, and thesquare'sdiagonal will equal thecircle'sdiameter.Also, the square's diagonal is equal to the hypotenuse of a right-angled triangle, which is also equal to the diameter of the circle. |
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