Question

convert the following angle from degrees to radians. express your answer in simplest form.

$255^{\circ}$

Explanation:

Step1: Recall conversion formula

Radians = Degrees × $\frac{\pi}{180}$

Step2: Substitute 255° into formula

$255 \times \frac{\pi}{180}$

Step3: Simplify the fraction

$\frac{255\pi}{180} = \frac{17\pi}{12}$ (divide numerator and denominator by 15)

Answer:

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