Question

question
convert the following angle from degrees to radians. express your answer in simplest form.
465°
answer
attempt 1 out of 2
submit answer

Explanation:

Step1: Use degree to radian formula

Multiply degrees by $\frac{\pi}{180^\circ}$
$465^\circ \times \frac{\pi}{180^\circ}$

Step2: Simplify the fraction

Cancel common factor 15, reduce $\frac{465}{180}$ to $\frac{31}{12}$
$\frac{465}{180}\pi = \frac{31}{12}\pi$

Answer:

$\frac{31}{12}\pi$