Question

convert the following angle in degrees to radians. 255° 255° = 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 $255$ for degrees in the formula: $255\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{255}{180}=\frac{17}{12}$ (divide both numerator and denominator by 15). So, $255\times\frac{\pi}{180}=\frac{17\pi}{12}$.

Answer:

$\frac{17\pi}{12}$