SOLUTION: a circle has a radius of 6cm. find the area in terms of pi of a sector of the circle with a 140 degree central angle. Can you please show me the steps of how to do this?

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Question 204069: a circle has a radius of 6cm. find the area in terms of pi of a sector of the circle with a 140 degree central angle. Can you please show me the steps of how to do this?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us see the circle with the central angle.


The first step is to find out what fraction of the circle represented by central angle, 140%5Eo
=140%5Eo%2F360%5Eo=7%2F18, *divide both num. & den. by 20

Then, to find AREA of sector green%28X%29, find the Area of the whole circle, and then find 7%2F18 of it:

A%5BC%5D=%28pi%29r%5E2=%28pi%296%5E2=36%28pi%29cm%5E2
So,
highlight%28red%28A%5BX%5D=14%28pi%29cm%5E2%29%29, (Answer)

Thank you,
Jojo