Question

A circle has a chord that goes from `( pi)/2` to `(13 pi) / 6` radians on the circle. If the area of the circle is `4 pi`, what is the length of the chord?

Answer 1

`=10.47`

Explanation:

A chord that goes from `pi/2`to `13pi/6`
so it travels the distance `13pi/6-pi/2=5pi/3`;
or
`5pi/3-:2pi=5/6` of the Circumference of the Circle
Area of the Circle`=pir^2=4pi`
or
`r^2=4`
or
`r=sqrt4`
or
`r=2`
Circumference of the circle`=2pir=2(pi)(2)=12.56`
Therefore Length of the chord`=12.56(5/6)=10.47`