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WAEC Mathematics 2023 Paper

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Question : 3

Total: 50

The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.

$11.6\,\text{cm}^2$
$12.7\,\text{cm}^2$
$10.2\,\text{cm}^2$
$9.4\,\text{cm}^2$

Solution:

$\theta = 115^{\circ} , \text{radius} = 3.4\,\text{cm}^2$

Area of a sector = $\frac{\theta}{360} \times \pi r^2$

= $\frac{115}{360} \times \frac{22}{7} \times 3.4 \times 3.4$

= $\frac{29246.4}{2520}$

= $11.6\,\text{cm}^2$

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