convert the angle in degrees to radians. express your answer as a multiple of π.\n120°\n120° =…

convert the angle in degrees to radians. express your answer as a multiple of π.\n120°\n120° = radians\n(simplify your answer. use integer or fractions for any numbers in the expression.)

convert the angle in degrees to radians. express your answer as a multiple of π.\n120°\n120° = radians\n(simplify your answer. use integer or fractions for any numbers in the expression.)

Answer

Explanation:

Step1: Recall degree - radian conversion formula

To convert degrees to radians, use the formula ( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}).

Step2: Substitute the given degree value

Given (120^{\circ}), substitute into the formula: (120\times\frac{\pi}{180}).

Step3: Simplify the fraction

Simplify (\frac{120}{180}). Divide numerator and denominator by 60. (\frac{120\div60}{180\div60}=\frac{2}{3}). So (120\times\frac{\pi}{180}=\frac{2\pi}{3}).

Answer:

(\frac{2\pi}{3}) radians