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Question

The length of arc of a sector is 22 cm and its radius is 10.5 cm. Find its central angle.

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Solution

the formula is given as:

θ360×2πr=l


where, r= radius of the arc

l= length of the arc

θ= central angle


Given that r=10.5 cm and l=22 cm.

by substituting the values in the formula we get,

θ360×2×227×10.5=22

θ=22×360×12×722×110.5

θ=120


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