Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

geometry junior

Problem

In the two concentric circles shown, the radius of the outer circle is twice the radius of the inner circle. What is the area of the gray region, in square feet, if the width of the gray region is 2 feet? Express your answer in terms of .

problem
Solution
The radius of the inner circle must be 2 feet. The area of the gray region is the area of the outer circle minus the area of the inner circle, or just .
Final answer
12\pi