A circle has a chord that goes from #( pi)/4 # to #(13 pi) / 8 # radians on the circle. If the area of the circle is #32 pi #, what is the length of the chord?
1 Answer
Apr 27, 2017
Explanation:
We can use the area of the circle,
Two radii and the chord form an isosceles triangle where "c" is the unknown length of the chord.
The lengths of the other two sides are:
The angle between the radii is:
We can use the Law of Cosines to find the length of the chord: