60. In the figure below, a regular octagon is inscribed in a circle of radius r. Each side of the octagon is a diameter of a shaded semicircle. What is the ratio of the total area of the 8 semicircles to the area of the circle?

Answer and Explanation

Your Answer is

Correct Answer is H

Explanation

The picture has been very friendly to help us draw the auxiliary line, ∠α = 360°÷8÷2 = 22.5°, in a right triangle, the radius of the small semicircle is r·sin22.5°

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