Question

If an arc of a circle of radius $14cm$ subtends an angle of ${60}^o$ at the centre, then what is the length of the arc (in $cm$) ?

Answer 1

Given that,

Radius of circle $=14cm$

An angle $={60}^o$

Length of arc$=?$

We know that,

$Lengthofarc=Radius\times Angle$

$=14\times {60}^o$

$=14\times \frac{\pi }{3}$

$=14\times \frac{22}{\frac{7}{3}}$

$=\frac{14\times 22}{3\times 7}$

$=\frac{44}{3}$

$=14.67cm.$

Hence, this is the answer.