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Question

The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector.

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Solution

We know that the area A of a sector of circle of radius r and arc length l is given by

Let OAB is the given sector. Then,



arc AB = 15.8 m

So, l = 15.8 m

Now substituting the value of r and l in above formula,

A=12×15.8×5.7=45.03 m2


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