Question

Convert 150° into radians.

(1 point)
Responses

Start Fraction pi over 6 End Fraction radians
Image with alt text: Start Fraction pi over 6 End Fraction radians

Start Fraction pi over 3 End Fraction radians
Image with alt text: Start Fraction pi over 3 End Fraction radians

Start Fraction 2 pi over 3 End Fraction radians
Image with alt text: Start Fraction 2 pi over 3 End Fraction radians

Start Fraction 5 pi over 6 End Fraction radians

Answer 1

To convert degrees to radians, you can use the formula:

\[
\text{radians} = \text{degrees} \times \left(\frac{\pi}{180}\right)
\]

For \(150^\circ\):

\[
\text{radians} = 150 \times \left(\frac{\pi}{180}\right) = \frac{150\pi}{180} = \frac{5\pi}{6}
\]

Therefore, \(150^\circ\) is equal to \(\frac{5\pi}{6}\) radians.

The correct response is:

**Start Fraction 5 pi over 6 End Fraction radians**.