A circle has a chord that goes from ( pi)/3 to (4 pi) / 3 radians on the circle. If the area of the circle is 15 pi , what is the length of the chord?

1 Answer
Narad T.
Jun 24, 2017

The length of the chord is =2sqrt15=7.75

Explanation:

The angle subtended by the chord at the center of the circle is

theta=4/3pi-1/3pi=3/3pi=pi

The chord is the diameter of the circle

Let the radius of the circle be =r

The area of the circle is A=pir^2

Here, A=15pi

So,

pir^2=15pi

r^2=15

r=sqrt15

The length of the chord is

l=2*sqrt15=7.75

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