A circle has a chord that goes from ( 3 pi)/4 to (5 pi) / 4 radians on the circle. If the area of the circle is 16 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 10, 2016

=6.28

Explanation:

A chord that goes from (3pi)/4to (5pi)/4
so it travels the distance (5pi)/4-(3pi)/4=(pi)/2;
or
(pi)/2-:2pi=1/4 of the Circumference of the Circle
Area of the Circle=pir^2=16pi
or
r^2=16
or
r=sqrt16
or
r=4
Circumference of the circle=2pir=2(pi)(4)=25.13
Therefore Length of the chord=25.13times1/4=6.28

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