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A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.
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Problem

Semi-detached printable sheet



In the diagram below, the blue square is inscribed in the semicircle, and the yellow square is inscribed in the circle.

Image
Semi-detached



The blue square has an area of $40$cm$^2$.

Can you find the area of the yellow square?