A sector is cut from a circle of radius 21\text{ cm}. If the length of the arc of the sector is 55\text{ cm}, then what is the area of the sector?
- A. 577.5\text{ cm}^2 ✓
- B. 612.5\text{ cm}^2
- C. 705.5\text{ cm}^2
- D. 725.5\text{ cm}^2
Correct Answer: A. 577.5\text{ cm}^2
Explanation
The area of a sector, given its arc length l and radius r, is \frac{1}{2}lr. Substituting the values: Area = \frac{1}{2} \times 55 \times 21 = \frac{1155}{2} = 577.5\text{ cm}^2.
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