A circle has a chord that goes from ( pi)/3 to (19 pi) / 12 radians on the circle. If the area of the circle is 48 pi , what is the length of the chord?

1 Answer
Aug 7, 2016

=27.2

Explanation:

A chord that goes from pi/3to 19pi/12
so it travels the distance 19pi/12-pi/3=5pi/4;
or
5pi/4-:2pi=5/8 of the Circumference of the Circle
Area of the Circle=pir^2=48pi
or
r^2=48
or
r=sqrt48
or
r=6.93
Circumference of the circle=2pir=2(pi)(6.93)=43.53
Therefore Length of the chord=43.53(5/8)=27.2