Question

question
convert the following angle from degrees to radians. express your answer in simplest form.
180°
answer
submit answer
π

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 angle

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

Step3: Simplify the expression

The \( 180^\circ \) in the numerator and denominator cancels out, leaving us with \( \pi \)

Answer:

\( \pi \)