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BECE Mathematics 2014 Paper

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Question : 31

Total: 40

The diameter of a circular tray is 28 cm . Find the area of the tray. [Take

\pi = \frac{22}{7}

$44\,\text{cm}^2$
$88\,\text{cm}^2$
$154\,\text{cm}^2$
$616\,\text{cm}^2$

Solution:

Concept:

The area of a circular tray is found using the area of a circle formula:

A = \pi r^2

.

Explanation:

The diameter of the tray is

28\text{ cm}

.

Radius

r

is half of the diameter.

r = \frac{28}{2} = 14\text{ cm}

Area

= \pi r^2

Area

= \frac{22}{7} \times (14)^2

Area

= \frac{22}{7} \times 14 \times 14

Area

= 22 \times 2 \times 14

Area

= 616\text{ cm}^2

Answer:

D.

616\text{ cm}^2

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