If a square is inscribed in a circle, find the ratio of the areas of t

1.	If a square is inscribed in a circle, find the ratio of the areas of the circle and the square (using Pythagoras theorem)
Answer» 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.

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square (using Pythagoras theorem)

Answer»

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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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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If a square is inscribed in a circle, find the ratio of the areas of the circle and the square (using Pythagoras theorem)