### Home > INT2 > Chapter 11 > Lesson 11.1.2 > Problem 11-23

11-23.

In the figure at right, is tangent to

*cm and* .

*cm.*

What is the area of the circle?

First find the length of the radius

by using the pythagorean theorem. Refer to the figure at right for help visualizing the problem. Area

cm ^{^2}What is the area of the sector bounded by

and?Use trig identities to help you find

. What is the area of the region bounded by

and? Subtract the area of the sector you found in part (b) from the area of

.