A circle has a chord that goes from ( 3 pi)/4 to (5 pi) / 4 radians on the circle. If the area of the circle is 144 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 28, 2016

=18.85

Explanation:

A chord that goes from (3pi)/4to (5pi)/4
so it travels the distance (5pi)/4-(3pi)/4=(pi)/2;
or
(pi)/2-:2pi=1/4 of the Circumference of the Circle
Area of the Circle=pir^2=144pi
or
r^2=144
or
r=sqrt144
or
r=12
Circumference of the circle=2pir=2(pi)(12)=75.4
Therefore Length of the chord=75.4times1/4=18.85

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