SOLUTION: in a circle with radius 6 cm, find the exact area of a sector whose central angle measure 120 degrees. Having a hard time with this.

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Question 421657: in a circle with radius 6 cm, find the exact area of a sector whose central angle measure 120 degrees.
Having a hard time with this.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the area of the circle can be found by the formula A+=r%5E2+%28pi%29
given:
radius r=6+cm
what you are looking for is only the portion which covers the central angle of 120 degrees
An entire circle is 360 degrees, so the area that you want is 120%2F360=1%2F3 of the entire circle

so, it is A=%281%2F3%29r%5E2%28pi%29
A=%281%2F3%29%286cm%29%5E2%283.14%29
A=%281%2F3%2936cm%5E2%283.14%29
A=%281%2Fcross%283%29%29cross%2836%2912cm%5E2%283.14%29
A=+12cm%5E2%283.14%29
A=+37.68cm%5E2