Question

A circle has a chord that goes from `( pi)/2` to `(2 pi) / 3` radians on the circle. If the area of the circle is `4 pi`, what is the length of the chord?

Answer 1

`=pi/3`

Explanation:

Chord has traveled `pi/2` to `(2pi)/3` radians
or
`pi/6`radians
`=180/6`Degrees
`=30^@`

Circumference of the circle with area=`4pi` is also `4pi`
So Length of the chord can be derived as follows :
`360^@` correspond to `4pi`
`pi/6` radians or `30^@`will correspond to `(4pi)/360` x30
`=pi/3`