Question

calculate the radian measure of a 60 - degree angle. use any method you like, including sketching in the circle diagram provided. explain or show your reasoning.

Explanation:

Step1: Recall the conversion formula

The formula to convert degrees to radians is \( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}\).

Step2: Substitute the value of degrees

Given \( \text{Degrees} = 60\), substitute into the formula: \(60\times\frac{\pi}{180}\).

Step3: Simplify the expression

\(60\times\frac{\pi}{180}=\frac{60\pi}{180}=\frac{\pi}{3}\).

Answer:

\(\frac{\pi}{3}\) radians.