Okay, I need someone to set me in the right direction on this question...
Find the number of equivalent radians in exact value: 270°

Question

Okay, I need someone to set me in the right direction on this question...
Find the number of equivalent radians in exact value: 270°

johnweldon1993 · Answer

To convert from degrees to radians you do

$$270 \times \frac{ \pi }{ 180 }$$

you multiply it by pi/180

anonymous · Answer

okay..so my answer should be 4.712?

johnweldon1993 · Answer

Not quite...you try to keep in in a fraction form...but simplify it down

$$\frac{ 270\pi }{ 180 }$$

can that be simplified at all?

anonymous · Answer

umm, how?

johnweldon1993 · Answer

*hint....looks like both numbers can be divide by 90 right?

so how many times does 90 go into 270?

and how many times does 90 go into 180?

anonymous · Answer

3 and 2

johnweldon1993 · Answer

right....so simplified down we have

$$\frac{ 3\pi }{ 2 }$$

anonymous · Answer

oh

anonymous · Answer

that makes a lot of sense.. thank you for your help

johnweldon1993 · Answer

I hope it did! you're welcome