convert the following angle from degrees to radians. express your answer in simplest form. 240°
convert the following angle from degrees to radians. express your answer in simplest form. 240°
Answer
Explanation:
Step1: Use the conversion formula
To convert degrees to radians, use the formula ( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}). For (240^{\circ}), we have (240\times\frac{\pi}{180}).
Step2: Simplify the fraction
Simplify (\frac{240}{180}). Divide numerator and denominator by 60: (\frac{240\div60}{180\div60}=\frac{4}{3}).
Answer:
(\frac{4\pi}{3})