AMC 8 2008 Problem 25

Margie's winning art design is shown. The smallest circle has radius 2 inches, with each successive circle's radius increasing by 2 inches. Which of the following is closest to the percent of the design that is black?

$\textbf{(A)}\ 42 \textbf{(B)}\ 44 \textbf{(C)}\ 45 \textbf{(D)}\ 46 \textbf{(E)}\ 48$