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  • A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60° at its centre. Find the radius of the circle.

A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60° at its centre. Find the radius of the circle.

Answers (1)

\frac{60}{\pi}cm 

Solution

Given \theta=60^{\circ}

Length of arc = 20 cm

We know that

Length of arc =\frac{\theta}{360}\times 2 \pi r

 \\20=\frac{\theta}{360}\times 2 \pi r\\\\ \frac{20 \times 360}{60 \times 2 \pi}=r\\ \\r=\frac{60}{\pi}cm

Posted by

infoexpert24

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