Find the Degree Measure Corresponding to the Following Radian Measure : \( \frac{18\pi}{5} \)
To convert a radian measure into degree measure, we use the formula:
\[ \text{Degree} = \text{Radian} \times \frac{180^\circ}{\pi} \]
Given:
\[ \frac{18\pi}{5} \]
Conversion into Degrees
\[ \frac{18\pi}{5} \times \frac{180^\circ}{\pi} \]
\[ = \frac{18 \times 180^\circ}{5} \]
\[ = 18 \times 36^\circ \]
\[ = 648^\circ \]
Answer
\[ 648^\circ \]