A circle has a chord that goes from #pi/4 # to #(5 pi) / 8 # radians on the circle. If the area of the circle is #120 pi #, what is the length of the chord?
1 Answer
Oct 5, 2016
The length of the chord is:
Explanation:
We are given the area of the circle:
Because two radii and the chord form a triangle, we can use the law of cosines to find the length of the chord:
where