A circle has a chord that goes from ( pi)/3 to (11 pi) / 12 radians on the circle. If the area of the circle is 48 pi , what is the length of the chord?

1 Answer
Deepak G.
Sep 4, 2016

Length of the chord=12.7

Explanation:

A chord that goes from (pi)/3 to (11pi)/12
so it travels the distance (11pi)/12-(pi)/3=(7pi)/12;
or
(7pi)/12-:2pi=7/24 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=43.53times7/24=12.7

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