If a square is inscribed in a circle, find the ratio of the areas of the circle and the square (using Pythagoras theorem)
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Step-by-step explanation:
The diagonal of the square is the diameter of the circle. If d = diagonal of the square = the diameter of the circle, then the area of the square = (d^2)/2 and area of the circle is (p1/4)d^2 or (22/28)d^2 or (11/14)d^2. So the ratio of the areas of the square to that of the circle is (1/2):(11/14) or 14:22 or 7:11.
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