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Q.

If the sector of a circle of diameter 10 cm subtends an angle of 144∘ at the center, then find out the length of the arc of the sector.


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a

2π cm

b

4π cm

c

5π cm

d

6π cm  

answer is B.

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Detailed Solution

It is given that, a circle of diameter 10 cm subtends an angle of 144∘ at the center.
∴Radius, r=5cm. We know that,
Arc length = θ360×2πr.
Here, θ=144° and r=5 cm. Then,
Arc length = 144360×2π×5
=4π cm Therefore, length of the arc of the sector is 4π cm.
Hence, option (2) is correct.
 
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