1969 AHSME Problems/Problem 13

Problem

A circle with radius $r$ is contained within the region bounded by a circle with radius $R$ . The area bounded by the larger circle is $\frac{a}{b}$ times the area of the region outside the smaller circle and inside the larger circle. Then $R:r$ equals:

$\text{(A) }\sqrt{a}:\sqrt{b} \quad \text{(B) } \sqrt{a}:\sqrt{a-b}\quad \text{(C) } \sqrt{b}:\sqrt{a-b}\quad \text{(D) } a:\sqrt{a-b}\quad \text{(E) } b:\sqrt{a-b}$

Solution

$\fbox{(B)}$

1969 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
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1969 AHSME Problems/Problem 13

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