Question

convert the following angle from degrees to radians. express your answer in simplest form. 150°

Explanation:

Step1: Use the conversion formula

To convert degrees to radians, use the formula: radians = degrees $\times\frac{\pi}{180}$.
So for $150^{\circ}$, we have $150\times\frac{\pi}{180}$.

Step2: Simplify the fraction

Simplify $\frac{150\pi}{180}$.
Divide numerator and denominator by their greatest common divisor, which is 30.
$\frac{150\div30}{180\div30}\pi=\frac{5}{6}\pi$.

Answer:

$\frac{5\pi}{6}$ radians