### Home > INT2 > Chapter 12 > Lesson 12.2.2 > Problem 12-83

12-83.

In a circle, chord has length

*. What is the area of the circle? Draw a diagram and show all work.*

The measure of the intercepted arc is equal to the measure of the central angle.

, because both are radii, so

Isosceles triangles have congruent base angles, so

but

so

Because the angles are all congruent, the triangle is equilateral.

So the length of the radius () is