A sector of a circle having a radius of 8 cm and has a central angle of (π)/8 radians. What is the area of the sector?

A sector of a circle having a radius of 8 cm and has a…

A sector of a circle having a radius of 8 cm and has a central angle of $\frac{\pi}{8}$ radians. What is the area of the sector?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4π cm².

Radius (r) = 8 cm

Central angle (θ) = π/8 radians

Area of a sector = (1/2) × r² × θ

= (1/2) × 8² × (π/8)

= (1/2) × 64 × (π/8)

= 4π cm²