# A circle has a chord that goes from #( 5 pi)/4 # to #(4 pi) / 3 # radians on the circle. If the area of the circle is #64 pi #, what is the length of the chord?

##### 1 Answer

The length of the chord is

#### Explanation:

Calculate the radius of the circle from the area of the circle.

area of circle =

Now calculate the coordinates of the endpoints of the chord.

Let's represent the coordinates for the endpoint at

, the coordinates for the endpoint at

The length,