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 `50 pi`, what is the length of the chord?

Answer 1

`=1.85`

Explanation:

A chord that goes from `(5pi)/4`to `(4pi)/3`
so it travels the distance `(4pi)/3-(5pi)/4=(pi)/12`;
or
`(pi)/12-:2pi=1/24` of the Circumference of the Circle
Area of the Circle`=pir^2=50pi`
or
`r^2=50`
or
`r=sqrt50`
or
`r=7.1`
Circumference of the circle`=2pir=2(pi)(7.1)=44.43`
Therefore Length of the chord`=44.43times1/24=1.85`