Question

If the area of a sector is one-twelfth that of a complete circle, then the angle of the sector is :

• A. 36°
• B. 30°
• C. 60°
• D. 45°

Answer 1

Answer: (B)

30°

Answer 2

The area of a sector is proportional to its central angle:
$\frac{\text{Sector Area}}{\text{Total Area}} = \frac{\text{Central Angle}}{360^\circ}$
Given:
$\frac{1}{12} = \frac{\theta}{360^\circ} \implies \theta = \frac{360}{12} = 30^\circ$