Question

Area of a sector of a circle of radius 15 cm is 30 cm² . Find the length of the arc of the sector.

Answer 1

Radius of the sector, r = 15 cm

Area of the sector = 30 cm²

∴ Length of the arc = $\frac{2\times \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{sector}}{\mathrm{Radius}\mathrm{of}\mathrm{the}\mathrm{sector}}$ $=\frac{2\times 30}{15}$ = 4 cm (Area of the sector = $\frac{1}{2}$ × Length of the arc × Radius)

Thus, the length of the arc of the sector is 4 cm.