Question

Radius of sector of a circle is 5 cm and length of its arc is 2.8 cm. Find the area of the sector.

Answer 1

Given: Radius r = 5 cm, arc length s = 2.8 cm.

Step-wise calculation:

1. Use `A = 1/2 xx r xx s`   ...`("Since"  θ = s/r and A = 1/2 r^2θ, "hence"  A = 1/2 r s)`

2. `A = 1/2 xx 5 xx 2.8`

3. `A = 1/2 xx 14` 

A = 7.0 cm²

Area of the sector = 7 cm².