# 1953 AHSME Problems/Problem 12

## Problem

The diameters of two circles are inches and inches respectively. The ratio of the area of the smaller to the area of the larger circle is:

## Solution

The area of a circle can be calculated as where is the radius. We know that the radii of the circles are and inches (half the diameter) so the ratio of the area of the smaller to the area of the larger circle is .