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# Area of a sector help...?

Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m. Round to the nearest tenth. ______________square meters

Please explain how to do this and also the correct answer. Thanks

### 2 Answers

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- Rita the dogLv 71 decade agoFavorite Answer
Sectors are a bit like triangles with altitude r and base rθ, the arc length of the sector. So the area is (1/b)(base)(altitude) = (1/2)(r)(rθ) = (1/2) r^2 θ. So just plug in r = 18.8 and θ = 2pi/15 compute it.

Note: radians are designed to make all these formulas simple.

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