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WAEC Mathematics 2023 Paper

Question : 3

Total: 50

Solution:

Concept:

The area of a sector is a fraction of the whole circle's area, determined by the central angle ratio.

Explanation:

Given:

\theta = 115^\circ

and radius

r = 3.4\ \text{cm}

The formula for the area of a sector is:

\text{Area} = \frac{\theta}{360^\circ} \times \pi r^2

Substitute the given values:

\text{Area} = \frac{115}{360} \times \frac{22}{7} \times (3.4)^2

= \frac{115}{360} \times \frac{22}{7} \times 11.56

= \frac{29246.8}{2520}

= 11.6\ \text{cm}^2

Answer:

The area of the sector is

11.6\ \text{cm}^2

Hence, the correct option is A.

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