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Question

In a circle of radius 3 centimetres, what is the length of an arc of central angle 30°?

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Solution

Radius (r) of the circle = 3 cm

Perimeter of the circle = 2πr

= (2 × 3.141 × 3) cm

= 18.846 cm

Central angle made by the given arc is 30°, which is of 360°.

Length of the arc = of the perimeter of the circle

=

= 1.5705 cm


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