A circle has a chord that goes from ( 3 pi)/8 to (5 pi) / 3 radians on the circle. If the area of the circle is 36 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 15, 2016

Length of the chord=24.35

Explanation:

A chord that goes from (3pi)/8to (5pi)/3
so it travels the distance (5pi)/3-(3pi)/8=(31pi)/24;
or
(31pi)/24-:2pi=31/48 of the Circumference of the Circle
Area of the Circle=pir^2=36pi
or
r^2=36
or
r=sqrt36
or
r=6
Circumference of the circle=2pir=2(pi)(6)=37.7
Therefore Length of the chord=37.7times31/48=24.35

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