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Question

The radius of a circle is 14cm.The angle subtended by an arc of the circle at the centre is 45.Find the length of the arc.

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Solution

Given that,r=14cm and θ=45

θ=45=45×π180=π4c

Length of the arc=l=rθ=14×π4

=7π2

=72×227=11cm

Length of the arc is 11cm

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