How do you convert 15 degrees to radians?

Dec 6, 2015

$x = \setminus \frac{\pi}{12}$

Explanation:

Since $260$ degrees are $2 \setminus \pi$ radians, the proportion would be

$15 : 360 = x : 2 \setminus \pi$. Basically, you're writing "my angle in degree is a part of the whole ${360}^{\circ}$ angle in the same ratio in which my angle in radians is part of the whole $2 \setminus \pi$ angle.

From the proportion, we have

$x = \frac{15 \cdot 2 \setminus \pi}{360} = \frac{30 \setminus \pi}{360} = \setminus \frac{\pi}{12}$