Need a trig explanation.

Question

ashleyisakitty · Answer

Trying to convert 135 degrees to radians.

I know you have to do 135 degrees * pi/180, and I know the answer is 3pi/4, but I dont get how. Can anyone explain?

astrophysics · Answer

How to get the answer or why we do it?

ashleyisakitty · Answer

I dont understand how you get 3pi/4 from the equation.

jdoe0001 · Answer

$\bf radians=\cfrac{{\color{brown}{ degrees}}\cdot \pi}{180}$

jdoe0001 · Answer

$\bf radians=\cfrac{{\color{brown}{ \cancel{ 135 }}}\cdot \pi}{\cancel{ 180 }}\to \cfrac{3\pi}{4}$

astrophysics · Answer

Ah ok, 

$$135 \deg \times \frac{ \pi }{ 180 \deg } = \frac{ 3\pi }{ 4 }$$

the degrees get cancelled out it's just like a regular fraction. 
135/180 = 3/4

astrophysics · Answer

I think it's the division part you might be having trouble with, I suggest you just do long division. :)

ashleyisakitty · Answer

Oh okay. That makes sense. Thank you both.

astrophysics · Answer

Np ^.^

astrophysics · Answer

You can also think of it as 

$$\frac{ 135 }{ 1 } \times \frac{ \pi }{ 180 }$$

if that helps