Question

A circle has a chord that goes from `( pi)/3` to `(5 pi) / 12` radians on the circle. If the area of the circle is `49 pi`, what is the length of the chord?

Answer 1

`=1.84`

Explanation:

A chord that goes from `pi/3`to `(5pi)/12`
so it travels the distance `(5pi)/12-pi/3=pi/12`;
or
`pi/12-:2pi=1/24` of the Circumference of the Circle
Area of the Circle`=pir^2=49pi`
or
`r^2=49`
or
`r=sqrt49`
or
`r=7`
Circumference of the circle`=2pir=2(pi)(7)=44`
Therefore Length of the chord`=44/24=1.84`