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Compare Areas

Which has the greatest area, a circle or a square inscribed in an isosceles, right angle triangle?

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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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Diagonal Touch

Weekly Problem 21 - 2012
Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?