ΒΆ 2017 AMC8 Problem 25
Problem:
In the figure shown, and are line segments each of length , and . Arcs and are each one-sixth of a circle with radius . What is the area of the region shown?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The region shown is what remains when two one-sixth sectors of a circle of radius are removed from an equilateral triangle with side length .
The area of an equaliateral triangle with side length is . Thus the area of the region is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions