Question

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

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

For $30^{\circ}$, 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. $\frac{30\pi\div30}{180\div30}=\frac{\pi}{6}$.

Answer:

$\frac{\pi}{6}$