Q31 of 131 Page 226

What will be the area of the largest square that can be cut out of a circle of radius 10 cm?

Given, radius of circle = 10 cm


The largest square that can be cut-out of a circle of radius 10 cm will have its diagonal equal to the diameter of the circle.
Let the side of a square be ×


Incomplete


Area of square = ×2


Now in right triangle DAB


(BD) 2 = (AD) 2 + (AB) 2


(20) 2 = ×2 + ×2


400 = 2×2


200 = side2


area of the largest square = 200 square cm

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