MHB Why Does 0.27 Degrees Equal 3π/2000 in Trigonometry?

[buttretler]

Couldn't figure out why. Where 0.27 deg =3pi/2000. Now the only way I could figure this out is 270 deg = 3pi/2. multiply by 1000 to get the 270 and the 2000, but gives 3000pi/2000? Anyone tell me where this came? Thanks

 

[I like Serena]

So this is a small part that's given in a problem which I don't know where came from. Where 0.27 deg =3pi/2000. Now the only way I could figure this out is 270 deg = 3pi/2. multiply by 1000 to get the 270 and the 2000, but is it still 3pi/2000 and not 3000pi/2000? Anyone tell me where this came? Thanks

Welcome to MHB, Ineedhelppp! :)

I'm not entirely sure where you are stuck.You have:
$$270^\circ = \frac{3\pi}{2}$$
Multiply both sides by 1/1000:
$$270^\circ \cdot \frac{1}{1000} = \frac{3\pi}{2} \cdot \frac{1}{1000}$$
Apply the rules how to multiply fractions:
$$0.27^\circ = \frac{3\pi \cdot 1}{2 \cdot 1000}$$
Simplify:
$$0.27^\circ = \frac{3\pi}{2000}$$

 

[buttretler]

Thank you so much. Once you go days studying, you start to lose focus on simple things. Thanks again.