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WAEC Further Mathematics 2022 Paper

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Question : 7

Total: 45

Express

\; \frac{4\pi}{2}

radians in degrees.

288º
200º
144º
120º

Solution:

Concept:

Radian measure is converted to degree measure by using the equivalence

\pi

radians

=180^\circ

.

Explanation:

The option list suggests the angle is

\frac{4\pi}{5}

radians.

Apply the conversion factor

\frac{180^\circ}{\pi}

to cancel radians.

\frac{4\pi}{5} \times \frac{180^\circ}{\pi} = \frac{4}{5} \times 180^\circ

.

So the calculation becomes

4 \times 36^\circ = 144^\circ

.

Therefore,

\frac{4\pi}{5}

radians measures

144^\circ

.

Answer:

C. 144º

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