1982 AHSME Problems/Problem 4

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Problem

The perimeter of a semicircular region, measured in centimeters, is numerically equal to its area, measured in square centimeters. The radius of the semicircle, measured in centimeters, is

$\textbf{(A)} \ \pi \qquad  \textbf{(B)} \ \frac{2}{\pi} \qquad  \textbf{(C)} \ 1 \qquad  \textbf{(D)} \ \frac{1}{2}\qquad \textbf{(E)} \ \frac{4}{\pi}+2$

Option E

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