Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Convert 
radians to degrees.
Text Solution
Verified by ExpertsThe correct answer is:
A
To convert radians to degrees, use the conversion factor: \( 180^{\circ} = \pi \, \text{radians} \).
Step 1: Given the angle in radians is \( \frac{\pi}{6} \).
Step 2: Multiply by the conversion factor:
\[ \text{Degrees} = \frac{\pi}{6} \times \frac{180^{\circ}}{\pi} \]
Step 3: Simplifying the equation:
\[ \text{Degrees} = \frac{180^{\circ}}{6} = 30^{\circ} \]
Therefore, \( \frac{\pi}{6} \) radians is equivalent to \( 30^{\circ} \).
Step 1: Given the angle in radians is \( \frac{\pi}{6} \).
Step 2: Multiply by the conversion factor:
\[ \text{Degrees} = \frac{\pi}{6} \times \frac{180^{\circ}}{\pi} \]
Step 3: Simplifying the equation:
\[ \text{Degrees} = \frac{180^{\circ}}{6} = 30^{\circ} \]
Therefore, \( \frac{\pi}{6} \) radians is equivalent to \( 30^{\circ} \).
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