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 $\text{radians}=\text{degrees}\times\frac{\pi}{180}$.

Step2: Substitute the given degree value

Substitute $25$ for degrees. So we have $25\times\frac{\pi}{180}$.

Step3: Simplify the fraction

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

Answer:

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