# 1962 AHSME Problems/Problem 5

## Problem

If the radius of a circle is increased by $1$ unit, the ratio of the new circumference to the new diameter is: $\textbf{(A)}\ \pi+2\qquad\textbf{(B)}\ \frac{2\pi+1}{2}\qquad\textbf{(C)}\ \pi\qquad\textbf{(D)}\ \frac{2\pi-1}{2}\qquad\textbf{(E)}\ \pi-2$

## Solution

The ratio of a circumference to a diameter always is the same so the answer is obviously C.

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.
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