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WAEC Mathematics 2022 Paper

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Question : 20

Total: 47

In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7]

What is the length of the minor arc?

11cm
15.4cm
17.64cm
23.10cm

Solution:

Concept:

The length of an arc is

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

.

Explanation:

Given

\theta = 150^\circ

,

r = 4.2

cm, and

\pi = \frac{22}{7}

.

Substitute these values into the arc length formula:

\text{Arc length} = \frac{150}{360} \times 2 \times \frac{22}{7} \times 4.2

.

Simplify:

\frac{150 \times 2 \times 22 \times 4.2}{360 \times 7} = \frac{27720}{2520} = 11

.

Therefore, the length of the minor arc is

11

cm.

Answer:

The correct option is A.

11

cm.

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