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Express the ratio of the area of the circle to the area of the square

Express the ratio of the area of the circle to the area of the square-example-1

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Answer:

π/4

Explanation:

The area of the circle is A = π(2x)^2 = 4πx².

The length of one side of the square is 2(2x), or 4x, so the area of the square is A = 16x².

The ratio of the area of the circle to the area of the square is

4πx²

ratio = ------------- and this reduces to ratio = π/4.

16x²

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