A circle has a chord that goes from pi/12 to pi/8 radians on the circle. If the area of the circle is 32 pi , what is the length of the chord?

1 Answer
Aug 7, 2016

=0.74

Explanation:

A chord that goes from pi/12to pi/8
so it travels the distance pi/8-pi/12=pi/24;
or
pi/24-:2pi=1/48 of the Circumference of the Circle
Area of the Circle=pir^2=32pi
or
r^2=32
or
r=sqrt32
or
r=5.66
Circumference of the circle=2pir=2(pi)(5.66)=35.54
Therefore Length of the chord=35.54(1/48)=0.74