### Home > CCG > Chapter 10 > Lesson 10.1.5 > Problem 10-59

10-59.

In the figure at right, .

*cm and*

*cm.*

What is the area of the circle?

According to the definition of the tangent line, what is the measure of

?

How can you use this to find the length of?A tangent line is perpendicular to a radius, so the measure of

, so the triangle is a right triangle. So we can use the Pythagorean Theorem.

What is the area of the sector bounded by

and?Find the measure of

. Use this to find the area of the sector. Find the area of the region bounded by

,, and. Find the area of the triangle formed by

. Subtract the area of the sector from the area of the triangle.