Question

convert the following angle from degrees to radians. express your answer in simplest form. 330°

Explanation:

Step1: Use the conversion formula

To convert degrees to radians, use the formula: radians = degrees $\times\frac{\pi}{180}$.
So for $330^{\circ}$, we have $330\times\frac{\pi}{180}$.

Step2: Simplify the fraction

Simplify $\frac{330}{180}$.
Divide numerator and denominator by $30$: $\frac{330\div30}{180\div30}=\frac{11}{6}$.
So $330\times\frac{\pi}{180}=\frac{11\pi}{6}$.

Answer:

$\frac{11\pi}{6}$