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 = × πr²

= × × 17.5 × 17.5 = 385 cm²

Hence, the area of the sector is 385 cm².