Question

Find the length of the arc of a circle which subtended an angle of 108degree at the Centre, if the radius of the circle is 15 cm.

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Answer 1

Step-by-step explanation:

The length of arc is 28.275 cm.

Step-by-step explanation:

Given information: subtends angle at the center 108° and radius of the circle is 15 cm.

Formula for length of arc is

l=r\thetal=rθ

where, r is radius of the circle and θ is the subtends angle at the center.

\theta=108\times \frac{\pi}{180}radian=1.885radianθ=108×

180

π

radian=1.885radian

The length of acr is

l=15\times 1.885l=15×1.885

l=28.275l=28.275

Therefore the length of arc is 28.275 cm.