Simple question about radians?

Question

how do i rewrite 315 degrees in radian measure as a multiple of π(p)i?

Answer 1

pi = 180

x/pi = 315/180

x = 315 pi/180=7/4 pi

Answer 2

There is a simple equivalence between radians and degrees:

Pi radians = 180 degrees

You can then set up a proportion to solve for whatever you want

Radians:radians::Degrees:degrees

315:180::x:pi

This is easier to see as: 315/180 = x/pi

use product of means = product of extremes

315*pi = 180x

solve for x:  x = 315pi/180

in loweest terms:  x = 7pi/4