Problem:
A decorative window is made up of a rectangle with semicircles on either end. The ratio of to is and inches. What is the ratio of the area of the rectangle to the combined areas of the semicircles?
.jpg)
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The given ratio implies that inches, so the area of the rectangle is square inches. The semicircles make circle with radius inches. The area of the circle is square inches. The ratio of the areas is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions