Answer:
19π/12
Explanation:
We know that
180 degrees = π radians
and we are asked
285 degrees = ? radians?
This can be treated as a ratio problem by saying that
[tex]\frac{180}{\pi}=\frac{285}{x}[/tex]
where x is the angle in radians.
Cross multpication gives
[tex]180x=285\pi[/tex]
dividing both sides by 180 gives
[tex]x=\frac{285\pi}{180}[/tex]
[tex]x=\frac{19}{12}\pi[/tex]
where we have used the fact that 285/12 = 19/12.
