A circle has a chord that goes from ( 2 pi)/3 to (11 pi) / 12 radians on the circle. If the area of the circle is 12 pi , what is the length of the chord?

1 Answer
Aug 6, 2016

=2.72

Explanation:

A chord that goes from 2pi/3to 11pi/12
so it travels the distance 11pi/12-2pi/3=pi/4;
or
pi/4-:2pi=1/8 of the Circumference of the Circle
Area of the Circle=pir^2=12pi
or
r^2=12
or
r=sqrt12
or
r=3.46
Circumference of the circle=2pir=2(pi)(3.46)=21.77
Therefore Length of the chord=21.77/8=2.72