Question

convert 330° to radian measure in terms of π. radians

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180^\circ} \).

Step2: Substitute the given degree measure

We are given \( 330^\circ \), so substitute into the formula: \( 330^\circ \times \frac{\pi}{180^\circ} \).

Step3: Simplify the fraction

Simplify \( \frac{330}{180} \) by dividing numerator and denominator by 30: \( \frac{330 \div 30}{180 \div 30} = \frac{11}{6} \). So the result is \( \frac{11\pi}{6} \).

Answer:

\( \frac{11\pi}{6} \)