MathDB
1994 AMC 12 #17

Source:

December 30, 2011
geometryrectangleAMC

Problem Statement

An 88 by 222\sqrt{2} rectangle has the same center as a circle of radius 22. The area of the region common to both the rectangle and the circle is
<spanclass=′latex−bold′>(A)</span> 2π<spanclass=′latex−bold′>(B)</span> 2π+2<spanclass=′latex−bold′>(C)</span> 4π−4<spanclass=′latex−bold′>(D)</span> 2π+4<spanclass=′latex−bold′>(E)</span> 4π−2 <span class='latex-bold'>(A)</span>\ 2\pi \qquad<span class='latex-bold'>(B)</span>\ 2\pi+2 \qquad<span class='latex-bold'>(C)</span>\ 4\pi-4 \qquad<span class='latex-bold'>(D)</span>\ 2\pi+4 \qquad<span class='latex-bold'>(E)</span>\ 4\pi-2
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