geometry

Find the area of a square inscribed in a circle of radius 10cm

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  1. The diagonal of a square inscribed in the given circle measures the same as the diameter of the circle, 2*10=20 cm.

    Since the diagonal cuts the square into two right triangles, we consider one of the two right triangles.

    Let the side of the square = x,
    then area of square = x²

    From Pythagoras theorem,
    x² + x² = 20²
    we conclude that
    area of square = x² = 20²/2

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