Question

What is the area of a sector of a circle of radius 14 cm and central angle 45°?(Take π = 22/7)

• A. 67 sq cm
• B. 11 sq cm
• C. 70 sq cm
• D. 77 sq cm

Answer 1

Answer:

D. 77 sq cm

Given:

Radius of sector (r) = 14 cm

Central angle (θ) = 45° 

Formula Used:

Area of sector $= πr^2\times{(θ/360)}$

Calculation:

Area of sector

$= \frac{22}{7}\times{14}\times{14}\times$(45°/360°)

= 77 cm²

∴ Required area of the sector is 77 cm²