A circle has a chord that goes from ( 4 pi)/3 to (17 pi) / 12 radians on the circle. If the area of the circle is 27 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 13, 2016

=1.36

Explanation:

A chord that goes from (4pi)/3to (17pi)/12
so it travels the distance (17pi)/12-(4pi)/3=(pi)/12;
or
(pi)/12-:2pi=1/24 of the Circumference of the Circle
Area of the Circle=pir^2=27pi
or
r^2=27
or
r=sqrt27
or
r=5.2
Circumference of the circle=2pir=2(pi)(5.2)=32.67
Therefore Length of the chord=32.67times1/24=1.36

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