A circle has a chord that goes from ( pi)/2 to (15 pi) / 8 radians on the circle. If the area of the circle is 121 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 14, 2016

=47.52

Explanation:

A chord that goes from (pi)/2to (15pi)/8
so it travels the distance (15pi)/8-(pi)/2=(11pi)/8;
or
(11pi)/8-:2pi=11/16 of the Circumference of the Circle
Area of the Circle=pir^2=121pi
or
r^2=121
or
r=sqrt121
or
r=11
Circumference of the circle=2pir=2(pi)(11)=69.1
Therefore Length of the chord=69.1times11/16=47.52

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