Question

Help Please! Lots of points

Answer 1

35%

Explanation:

Assume that the radius of the circle is 1.

The diagonal of the square is 2. By the Pythagorean Theorem, the side of the square of a right triangle will be 2/sqrt(2).

Finally, the ratio of the square to the circle, in area, will be

(2/sqrt(2))^2 : pi*(1)^2 = 2 : pi

We can conclude that the white area is about 35%.

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Answer 2

Assume that the radius of the circle is 1.

The diagonal of the square is 2. By the Pythagorean Theorem, the side of the square of a right triangle will be 2/sqrt(2).

Finally, the ratio of the square to the circle, in area, will be

(2/sqrt(2))^2 : pi*(1)^2 = 2 : pi

We can conclude that the white area is about 35%.