### 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 central angle.

, because both are radii, so

Isosceles triangles have equal base angles, so

but

so

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

So the radius () is