Question

what radian measure is equivalent to 150°?
options:
$\frac{5}{6}$
$\frac{5pi}{3}$
$\frac{5pi}{6}$
$\frac{5pi}{12}$
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Explanation:

Step1: Recall the conversion formula

The formula to convert degrees to radians is \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees}\).

Step2: Substitute the value of degrees

Given \( \text{Degrees} = 150^{\circ}\), substitute into the formula: \( \text{Radians}=\frac{\pi}{180}\times150\).

Step3: Simplify the expression

\(\frac{\pi\times150}{180}=\frac{5\pi}{6}\) (divide numerator and denominator by 30).

Answer:

\(\frac{5\pi}{6}\)