A circle has a chord that goes from pi/12 to pi/8 radians on the circle. If the area of the circle is 25 pi , what is the length of the chord?

1 Answer
Aug 7, 2016

=0.65

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=25pi
or
r^2=25
or
r=sqrt25
or
r=5
Circumference of the circle=2pir=2(pi)(5)=31.41
Therefore Length of the chord=31.41/48=0.65