Question

The segment in the smaller circle is made by a line equal to the radius of the smaller circle. The circle can fit exactly in the semi-circle as shown. If the area of shaded region is given by $\frac{R^2}{8}(\frac{X\pi }{Y}+Z\sqrt{3})$, what is the value of $X+Y+Z$ given that X and Y are coprime?

• A. 13.5
• B. 14
• C. 14.5
• D. 15

Answer 1

The correct option is D 15