A circle has a chord that goes from ( pi)/8 to (5 pi) / 6 radians on the circle. If the area of the circle is 225 pi , what is the length of the chord?

1 Answer
Deepak G.
Aug 10, 2016

=33.38

Explanation:

A chord that goes from (pi)/8to (5pi)/6
so it travels the distance (5pi)/6-(pi)/8=(17pi)/24;
or
(17pi)/24-:2pi=17/48 of the Circumference of the Circle
Area of the Circle=pir^2=225pi
or
r^2=225
or
r=sqrt225
or
r=15
Circumference of the circle=2pir=2(pi)(15)=94.24
Therefore Length of the chord=94.24times17/48=33.38

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