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Home > CCG > Chapter 11 > Lesson 11.1.1 > Problem 11-20

11-20.

In a circle, chord has length units, while . 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 is isosceles.

Isosceles triangles have equal base angles, so .


but ,
so

units

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

So the radius () is .