Question

convert the angle in radians to degrees.
\frac{11\pi}{6} radians
\frac{11\pi}{6} radians = \square^{\circ}

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \).

Step2: Substitute the given radian measure

We are given \( \frac{11\pi}{6} \) radians. Substitute this into the formula:
\( \frac{11\pi}{6} \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out:
\( \frac{11}{6} \times 180^\circ \)
Calculate \( 180 \div 6 = 30 \), then \( 11 \times 30^\circ = 330^\circ \)

Answer:

\( 330^\circ \)