Question

The given figure shows a rectangle ABCD with a semi-circle and a circle inscribed inside it as shown. What is the ratio of the area of the circle to that of the semi-cirdle?​

Answer 1

Assuming the triangle in the middle has a height the radius of the circle and base as the diameter of the circle, you can calculate the area for the triangle by squaring the radius and the area of the remaining semi-circle by doing pi times the radius squared minus two times the radius squared divided by two.