A circle has a chord that goes from #( 3 pi)/2 # to #(7 pi) / 4 # radians on the circle. If the area of the circle is #196 pi #, what is the length of the chord?
1 Answer
Oct 5, 2016
The chord is
Explanation:
Use the area to compute the radius:
The angle,
Because the two radii and the chord form a triangle we can use the Law of Cosines:
where