A circle has a chord that goes from (2 pi)/3 to (5 pi) / 8 radians on the circle. If the area of the circle is 120 pi , what is the length of the chord?

1 Answer
Aug 7, 2016

=1.43

Explanation:

A chord that goes from 2pi/3to 5pi/8
so it travels the distance 2pi/3-5pi/8=pi/24;
or
pi/24-:2pi=1/48 of the Circumference of the Circle
Area of the Circle=pir^2=120pi
or
r^2=120
or
r=sqrt120
or
r=10.95
Circumference of the circle=2pir=2(pi)(10.95)=68.83
Therefore Length of the chord=68.83(1/48)=1.43