Question

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

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula: $radians = degrees\times\frac{\pi}{180}$.

Step2: Substitute the given degree value

Substitute $150$ for degrees: $150\times\frac{\pi}{180}$.

Step3: Simplify the fraction

Simplify $\frac{150}{180}$ by dividing numerator and denominator by $30$. $\frac{150\div30}{180\div30}=\frac{5}{6}$. So, $150\times\frac{\pi}{180}=\frac{5\pi}{6}$.

Answer:

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