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WAEC Further Mathematics 2018 Paper

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Question : 22

Total: 40

Express

\;\frac{13}{4}\pi

radians in degrees.

495°
225°
585°
135°

Solution:

Concept:

The conversion rule is

180^\circ = \pi

radians, so we multiply the radian measure by

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

.

Explanation:

Given angle:

\frac{13}{4}\pi

radians.

Convert to degrees using

\frac{13}{4}\pi \times \frac{180^\circ}{\pi}

.

The

\pi

cancels:

\frac{13}{4} \times 180^\circ

.

Simplify:

\frac{13}{4} \times 180^\circ = 13 \times 45^\circ

.

Therefore, the angle is

585^\circ

.

Answer:

585^\circ

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