A circle has a chord that goes from #( pi)/6 # to #(5 pi) / 6 # radians on the circle. If the area of the circle is #18 pi #, what is the length of the chord?
1 Answer
Apr 20, 2017
Explanation:
We can compute the radius from the area of the circle:
To radii and the chord form a triangle. The angle between the two radii is:
If we use the angle and the length of the two radii, we can use the Law of Cosines:
where