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Question

Write the area of the sector of a circle whose radius is r and length of the arc is l.

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Solution

We know that area of the sector of the circle of radius r

Length of the arc

But we have given that length of the arc

…… (1)

Area of the sector

Now we will adjust 2 in the following way,

Area of the sector

Area of the sector

From equation (1) we will substitute

Area of the sector

Area of the sector

Therefore, area of the sector =.


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