A circle has a chord that goes from ( 5 pi)/4 to (4 pi) / 3 radians on the circle. If the area of the circle is 50 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 28, 2016

=1.85

Explanation:

A chord that goes from (5pi)/4to (4pi)/3
so it travels the distance (4pi)/3-(5pi)/4=(pi)/12;
or
(pi)/12-:2pi=1/24 of the Circumference of the Circle
Area of the Circle=pir^2=50pi
or
r^2=50
or
r=sqrt50
or
r=7.1
Circumference of the circle=2pir=2(pi)(7.1)=44.43
Therefore Length of the chord=44.43times1/24=1.85

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