Write the measure in degrees. $$ \begin{array}{c}\frac{11 \pi}{6} \ {[?]^{\circ}}\end{array} $$

Question

UpStudy AI · Accepted Answer

To convert radians to degrees, you can use the conversion factor $$ \frac{180^\circ}{\pi} $$.

Given the angle $$ \frac{11 \pi}{6} $$ radians, the conversion to degrees is done as follows:

$$
\frac{11 \pi}{6} \times \frac{180^\circ}{\pi}
$$

The $$ \pi $$ in the numerator and denominator cancels out:

$$
= \frac{11 \times 180^\circ}{6}
$$

Now, calculate $$ \frac{180}{6} $$:

$$
= 30^\circ
$$

Now multiply by 11:

$$
= 11 \times 30^\circ = 330^\circ
$$

Thus, the measure in degrees is:

$$
\frac{11 \pi}{6} = 330^\circ
$$
$$ \frac{11 \pi}{6} = 330^\circ $$

Write the measure in degrees. \( \begin{array}{c}\frac{11 \pi}{6} \\ {[?]^{\circ}}\end{array} \)