MathDB
Circular ratios

Source: AMC 10 2006B, Problem 4

February 17, 2006
ratiogeometryAMC

Problem Statement

Circles of diameter 1 inch and 3 inches have the same center. The smaller circle is painted red, and the portion outside the smaller circle and inside the larger circle is painted blue. What is the ratio of the blue-painted area to the red-painted area? <spanclass=latexbold>(A)</span>2<spanclass=latexbold>(B)</span>3<spanclass=latexbold>(C)</span>6<spanclass=latexbold>(D)</span>8<spanclass=latexbold>(E)</span>9 <span class='latex-bold'>(A) </span> 2 \qquad <span class='latex-bold'>(B) </span> 3 \qquad <span class='latex-bold'>(C) </span> 6 \qquad <span class='latex-bold'>(D) </span> 8 \qquad <span class='latex-bold'>(E) </span> 9