Question

A circle has a chord that goes from `pi/3` to `pi/2` radians on the circle. If the area of the circle is `49 pi`, what is the length of the chord?

Answer 1

3.7 units

Explanation:

The area of a circle is given as `pir^2` . So for this case the radius is 7.

The angle that the chord holds at the centre is `pi/2-pi/3 = pi/6` So the length of the chord is `2*7sin(pi/12)~~3.7`