Question

Convert 13π6 radians to degrees.(1 point)
Responses

390 degrees
390 degrees

280 degrees
280 degrees

545 degrees
545 degrees

300 degrees

Answer 1

To convert radians to degrees, you can use the conversion factor \( \frac{180}{\pi} \).

Given the angle is \( \frac{13\pi}{6} \) radians, the conversion to degrees is as follows:

\[
\left(\frac{13\pi}{6}\right) \times \frac{180}{\pi}
\]

The \( \pi \) cancels out:

\[
\frac{13 \times 180}{6}
\]

Now, simplify the calculation:

\[
\frac{13 \times 180}{6} = \frac{2340}{6} = 390 \text{ degrees}
\]

So, \( \frac{13\pi}{6} \) radians is equal to \( 390 \text{ degrees} \).

The response is: **390 degrees**.