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Area of a Sector of a Circle

Given radius ...

Question

Given radius = $11$ cm, area of the sector is $230$ $c m^{2}$ . Find the length of the arc $S R$ .

40.56 c m

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41.81 c m

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43.61 c m

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46.12 c m

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Solution

The correct option is B $41.81 c m$
Area of sector = $\frac{R L}{2}$
$230 = \frac{11 L}{2}$
$L = 41.81 c m$

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