Question

A circle has a chord that goes from `pi/3` to `(3 pi) / 8` radians on the circle. If the area of the circle is `81 pi`, what is the length of the chord?

Answer 1

`=1.18`

Explanation:

A chord that goes from `(pi)/3`to `(3pi)/8`
so it travels the distance `(3pi)/8-(pi)/3=(pi)/24`;
or
`(pi)/24-:2pi=1/48` of the Circumference of the Circle
Area of the Circle`=pir^2=81pi`
or
`r^2=81`
or
`r=sqrt81`
or
`r=9`
Circumference of the circle`=2pir=2(pi)(9)=56.55`
Therefore Length of the chord`=56.55times1/48=1.18`