Question

what is 330 degrees in radians? a. \\(\frac{11\pi}{6}\\) b. \\(\frac{\pi}{6}\\) c. 30 radians d. \\(\frac{3\pi}{4}\\)

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given degree value

We are given 330 degrees. Substitute into the formula: \( 330 \times \frac{\pi}{180} \).

Step3: Simplify the expression

Simplify \( \frac{330}{180} \). Both numerator and denominator are divisible by 30: \( \frac{330 \div 30}{180 \div 30} = \frac{11}{6} \). So, \( 330^\circ = \frac{11\pi}{6} \) radians.

Answer:

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