Test Index

JAMB Mathematics 2010 Paper

Question : 13

Total: 49

Solution:

Concept:

A sector is a part of a circle, so its area is the fraction of the circle determined by the central angle.

Explanation:

Area of a sector formula is

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

Here,

\theta = 50^\circ

r = 6\ \mathrm{cm}

, and

\pi = \frac{22}{7}

Substitute into the formula:

\text{Area} = \frac{50}{360} \times \frac{22}{7} \times (6)^2

Simplify

(6)^2 = 36

\text{Area} = \frac{50}{360} \times \frac{22}{7} \times 36

Cancel

360

and

36

to get

10

in the denominator:

\text{Area} = \frac{50}{10} \times \frac{22}{7}

\text{Area} = 5 \times \frac{22}{7} = \frac{110}{7}\ \mathrm{cm}^2

Answer:

The area of the sector is

\frac{110}{7}\ \mathrm{cm}^2

, which is Option C.

Go to Question:

Prev Question

Next Question