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Question
Find the degree measure corresponding to the following radian measure:
\[\left( \frac{18\pi}{5} \right)\]
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Solution
We have:
\[\pi \text{ rad }= 180^\circ\]
\[ \therefore 1 \text{ rad }= \left( \frac{180}{\pi} \right)^\circ \]
\[ \left( \frac{18\pi}{5} \right)^c = \left( \frac{180}{\pi} \times \frac{18\pi}{5} \right)^\circ \]
\[ = \left( 36 \times 18 \right)^\circ\]
\[ = {648}^\circ\]
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