Question

convert the following angle from degrees to radians. express your answer in simplest form. 30°

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 have \( 30^\circ \), so substitute into the formula: \( 30 \times \frac{\pi}{180} \)

Step3: Simplify the expression

Simplify \( \frac{30\pi}{180} \) by dividing numerator and denominator by 30: \( \frac{\pi}{6} \)

Answer:

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