The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.

Given:

Radius of circle = 17.5 cm

Length of arc = 44 cm

∵ Length of arc = × 2πr

∴ 44 = × 2 × × 17.5

θ = 44 × 360 × × ×

θ = = 144°

Now, Area of sector = × πr^{2}

= × × 17.5 × 17.5 = 385 cm^{2}

__Hence, the area of the sector is 385 cm ^{2}.__

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