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Find the Degree Measure Corresponding to the Following Radian Measure: − 5 π 6 - Mathematics

Find the degree measure corresponding to the following radian measure:
\[- \frac{5\pi}{6}\]

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Solution

We have: 
\[\pi \text{ rad }= 180^\circ\]
\[ \therefore 1 \text{ rad }= \left( \frac{180}{\pi} \right)^\circ \]
\[\ \frac{5\pi}{6} = \left( \frac{180}{\pi} \times \left( - \frac{5\pi}{6} \right) \right)^\circ \]
\[ = - \left( 30 \times 5 \right)^\circ\]
\[ = - \left( 150 \right)^\circ\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 4 Measurement of Angles
Exercise 4.1 | Q 1.2 | Page 15
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