Question

How do you convert 15 degrees to radians?

Answer 1

`x=\pi/12`

Explanation:

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

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

From the proportion, we have

`x=(15*2\pi)/360 = (30\pi)/360 = \pi/12`