ΒΆ 2013 AMC8 Problem 20
Problem:
A rectangle is inscribed in a semicircle with the longer side on the diameter. What is the area of the semicircle?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
By the Pythagorean Theorem, the radius of the semicircle is , so its area is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions