Question

convert the following angle in degrees to radians. 25°. 25° = □ 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 given degree value

Substitute $degrees = 25$ into the formula: $25\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{25\pi}{180}=\frac{5\pi}{36}$.

Answer:

$\frac{5\pi}{36}$