Question

convert the angle θ = 180° to radians. express your answer exactly. θ = radians

Explanation:

Step1: Recall conversion formula

The formula to convert degrees to radians is $\text{radians}=\frac{\pi}{180}\times\text{degrees}$.

Step2: Substitute the value

Substitute $\text{degrees} = 180$ into the formula: $\text{radians}=\frac{\pi}{180}\times180$.

Step3: Simplify the expression

$\frac{\pi}{180}\times180=\pi$.

Answer:

$\pi$