The angle of a sector of a circle of radius 3.4 cm is 115°. Find
MATHEMATICS
WAEC 2023
The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.
\((Take \pi = \frac{22}{7})\)
- A. \(11.6cm^2\)
- B. \(12.7cm^2\)
- C. \(10.2cm^2\)
- D. \(9.4cm^2\)
Correct Answer: A. \(11.6cm^2\)
Explanation
\(\theta = 115° , radius = 3.4cm^2\)
Area of a sector = \(\frac{\theta}{360} \times \pi r^2\)
= \(\frac{115}{360} \times \frac{22}{7} \times 3.4\times 3.4\)
= \(\frac{29246.4}{2520}\)
= \(11.6cm^2\)
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