In the figure above, each arc is a semicircle. If S is the midpoint of PQ and Q is the midpoint of PR, what is the area of semicircles PS to the area of semicircles PR?

The area of a semicircle of radius 4t is

In the following figures, PQ = LM, Q is the midpoint of PR and M is the midpoint of LN. Using the axioms, prove that PR = LN.

In the following figures, PQ = LM, Q is the midpoint of PR and M is the midpoint of LN. Using the axioms, prove that PR = LN.

Area: circumference and perimeter of semicircle

In the picture below, ACB is a semicircle. Find the area of the shaded portion of the figure.

In the figure, semicircles are drawn with the sides of a triangles as diameters. Prove that the area of the largest semicircle is the sum of the areas of the smaller ones.

The figure shows the rectangle ABCD with a semicircle inscribed inside it as shown. What is the ratio of the area of the circle to that of the semicircle?

In the figure all the four shaded semicircles have same area. If we put a dot in the figure without looking into it, what is the probability of being the dot in the shaded semicircles?