Areas Related To Circle

To solve the problem, we are given that is a square of side , and arcs and are semicircles. We need to find the area of the shaded region.

1. Calculate Area of the Square:

2. Calculate the Area of the Two Semicircles:
Each semicircle has diameter , so radius .


So, total area of two semicircles:

3. Subtract Semicircle Areas from Square Area:

Final Answer:
The area of the shaded region is .