Problem:
A square of area is inscribed in a semicircle as shown. What is the area of the semicircle?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The square has side length .
Let be the radius of the semicircle. Then
so the area of the semicircle is .
The problems on this page are the property of the MAA's American Mathematics Competitions