An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 227 22 7 )

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = $\frac{22}{7}$)

Answer Details

Perimeter of sector = $(\frac{\theta }{{360}^{\circ }}\times 2\pi r)+2r$
= $(\frac{\theta }{{360}^{\circ }}\times 2\times \frac{22}{7}\times 14)+28$
= $(\frac{5}{6}\times 2\times \frac{22}{7}\times 14)+28$
= 73.33 + 28 = 101.33cm