A circle with center $A$ and radius three inches is tangent at $C$ to a circle with center $B$, as shown. If point $B$ is on the small circle, what is the area of the shaded region? Express your answer in terms of $\pi$.

AdminMod2  Aug 20, 2017

1+0 Answers


The radius of the bigger circle is the diameter of the smaller circle. The area of the bigger circle is (2*3)^2*pi or 36pi. The small circle is 3^2*pi or 9pi. The area of the shaded region is 36pi - 9pi=27pi

ISmellGood  Aug 20, 2017

3 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details