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Find the degree measure corresponding to the following radian measure: 9 π 5

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Question

Find the degree measure corresponding to the following radian measure:
\[\frac{9\pi}{5}\]

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Solution

We have: 
\[\pi \text{ rad }= 180^\circ\]
\[ \therefore 1 \text{ rad }= \left( \frac{180}{\pi} \right)^\circ \]
\[ \frac{9\pi}{5} = \left( \frac{180}{\pi} \times \frac{9\pi}{5} \right)^\circ \]
\[ = \left( 36 \times 9 \right)^\circ \]
\[ = {324}^\circ\]

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Chapter 4: Measurement of Angles - Exercise 4.1 [Page 15]

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R.D. Sharma Mathematics [English] Class 11
Chapter 4 Measurement of Angles
Exercise 4.1 | Q 1.1 | Page 15

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