Question

The length of an arc of a circle is 66 and the radius is 6, then the area of the sector is ____.

• A. 56.67 cm²
• B. 66 cm²
• C. 113.14 cm²
• D. 198 cm²

Answer 1

Answer: (D)

198 cm²

Answer 2

The area of a sector can be calculated directly using the formula $A = \frac{1}{2}Lr$, where $L$ is the arc length and $r$ is the radius. Given $L=66$ and $r=6$, substitute these values into the formula: $A = \frac{1}{2} \times 66 \times 6 = 33 \times 6 = 198$. Therefore, the area of the sector is 198 cm².