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 5 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 16, 2016

Length of the chord=1.76

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=5pi
or
r^2=5
or
r=sqrt5
or
r=2.24
Circumference of the circle=2pir=2(pi)(2.24)=14.05
Therefore Length of the chord=14.05times1/8=1.76

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