Question

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

$435^{\circ}$

Explanation:

Step1: Recall conversion formula

$1^\circ = \frac{\pi}{180}$ radians

Step2: Multiply degrees by conversion factor

$435^\circ \times \frac{\pi}{180} = \frac{435\pi}{180}$

Step3: Simplify the fraction

$\frac{435\div15}{180\div15} = \frac{29}{12}$, so result is $\frac{29\pi}{12}$

Answer:

$\frac{29\pi}{12}$