#### Question

Area of a sector of a circle of radius 15 cm is 30 cm^{2} . Find the length of the arc of the sector.

#### Solution

The radius of the sector, r = 15 cm

Area of the sector = 30 cm^{2 }

∴ Length of the arc = \[\frac{2 \times \text{ Area of the sector} }{\text{ Radius of the sector} }\] \[= \frac{2 \times 30}{15}\] = 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.

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Solution Area of a Sector of a Circle of Radius 15 Cm is 30 Cm2 . Find the Length of the Arc of the Sector. Concept: Length of an Arc.