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Q.

If the sector of a circle of diameter 10 cm subtends an angle of 144° at the centre, then what is 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

Given, diameter =10cm, θ=144°.
Length of an arc of a circle =θ360°×2πr
⇒ Length of an arc of a circle =144°360°×2π×102
⇒ Length of an arc of a circle =4π cm Hence, option 2 is correct.
 
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