Question

A circle has a chord that goes from `( 2 pi)/3` to `(11 pi) / 12` radians on the circle. If the area of the circle is `12 pi`, what is the length of the chord?

Answer 1

`=2.72`

Explanation:

A chord that goes from `2pi/3`to `11pi/12`
so it travels the distance `11pi/12-2pi/3=pi/4`;
or
`pi/4-:2pi=1/8` of the Circumference of the Circle
Area of the Circle`=pir^2=12pi`
or
`r^2=12`
or
`r=sqrt12`
or
`r=3.46`
Circumference of the circle`=2pir=2(pi)(3.46)=21.77`
Therefore Length of the chord`=21.77/8=2.72`