A circle has a chord that goes from #( 2 pi)/3 # to #(17 pi) / 12 # radians on the circle. If the area of the circle is #12 pi #, what is the length of the chord?
1 Answer
Dec 23, 2016
The length of the chord is
Explanation:
Given: The area of the circle is
The area of a circle is:
If you draw a radius from the center to one end of the chord and a radius from the center to the other end of the chord, you have a triangle. The angle,
We can use the Law of Cosines to find the length of the chord:
where