Question

A circle has a chord that goes from `( 5 pi)/4` to `(4 pi) / 3` radians on the circle. If the area of the circle is `42 pi`, what is the length of the chord?

Answer 1

`=1.7`

Explanation:

Area of the circle`=pir^2=42pi`
or
`r^2=42`
or
`r=sqrt42`
or
`r=6.48`
Circumference=`2pir=2pi(6.48)=40.72`
Chord goes from `5pi/4` to `4pi/3` that is moves`(4/3-5/4)pi=pi/12`
Therefore we can write
`2pi` corresponds to `40.72`
`pi/12`corresponds to `40.72/(2pi)(pi/12)`
`=1.7`