Question

convert the following angle in degrees to radians.
300°
300° = radians
(simplify your answer. type an exact answer in terms of π. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Recall conversion formula

To convert degrees to radians, use the formula $radians = degrees\times\frac{\pi}{180}$.

Step2: Substitute the degree value

Substitute $300$ for degrees: $300\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{300\pi}{180}=\frac{5\pi}{3}$.

Answer:

$\frac{5\pi}{3}$