Square and Circle
Source:
January 5, 2009
geometry
Problem Statement
A square has sides of length , and a circle centered at one of its vertices has radius . What is the area of the union of the regions enclosed by the square and the circle?
(A)\ 200 \plus{} 25\pi\qquad (B)\ 100 \plus{} 75\pi\qquad (C)\ 75 \plus{} 100\pi\qquad (D)\ 100 \plus{} 100\pi
(E)\ 100 \plus{} 125\pi