An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc.

An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc.

Answer Details

Length or arc = $\frac{\theta }{360}$ x 2$\pi$r
= $\frac{30}{360}$ x 2 x $\frac{22}{7}$ x 12
= $\frac{1}{12}$ x 2 x $\pi$ x 2 = 2$\pi$cm