A circle has a chord that goes from ( pi)/4 to (13 pi) / 8 radians on the circle. If the area of the circle is 27 pi , what is the length of the chord?

1 Answer
Deepak G.
Sep 4, 2016

Length of the chord=22.45

Explanation:

A chord that goes from (pi)4to (13pi)/8
so it travels the distance (13pi)/8-(pi)/4=(11pi)/8;
or
(11pi)/8-:2pi=11/16 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)=32.65
Therefore Length of the chord=32.65times11/16=22.45

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