A circle has a chord that goes from ( pi)/2 to (13 pi) / 6 radians on the circle. If the area of the circle is 4 pi , what is the length of the chord?

1 Answer
Aug 7, 2016

=10.47

Explanation:

A chord that goes from pi/2to 13pi/6
so it travels the distance 13pi/6-pi/2=5pi/3;
or
5pi/3-:2pi=5/6 of the Circumference of the Circle
Area of the Circle=pir^2=4pi
or
r^2=4
or
r=sqrt4
or
r=2
Circumference of the circle=2pir=2(pi)(2)=12.56
Therefore Length of the chord=12.56(5/6)=10.47