Question

can somebody please show me how to solve this?
convert the angle measure to radians to the nearest hundredth of a radian
32°

Answer 1

Oh, I've never heard of anything like this. What math class are you taking?

Answer 2

trig :/

Answer 3

it really confuses me and its really hard to learn online

Answer 4

i dont even have a textbook haha

Answer 5

there are pi radians in 180 degrees

multiply degrees by
\[ \frac{ \pi \text{ radians}}{180º} \]

Answer 6

make sure to use enough digits in pi (use a calculator, or the number 3.14159)

Answer 7

how could i put that in a calculator?

Answer 8

calculators have a key for pi. Look for it.

Answer 9

yes but it doesnt have a radians button.. haha

Answer 10

\(2\pi\) radians = \(360\) degrees
or written as a fraction,

\[\frac{radians}{degrees} = \frac{2\pi}{360}\]

Cross-multiply to find the one you don't know.

I prefer remembering the whole circle to half the circle, which is why I suggested 2pi/360 instead of 180/pi like phi did.

Answer 11

you just multiply 32 * 3.14159 then divide by 180
what do you get ?

Answer 12

oh i see, thanks @whpalmer4

Answer 13

When you actually calculate it, you can drop the common factor of 2 and use pi and 180

Answer 14

@phi i got .56

Answer 15

@whpalmer4 would that answer be correct for your way also?

Answer 16

Yes, you should get the exact same answer.

Answer 17

You are doing the same thing, after all :-)

Answer 18

you should always get more decimals than what you round to.
I get 0.5585
round to the nearest 100th place
0.56

so you got the right answer.

Answer 19

thank you both so much, i dont know who to give best answer, i really appreciate it! could one of you please explain how i could find 170 degrees for the same type of problem? it would really help a lot

Answer 20

here are some videos
http://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial/v/introduction-to-radians

There are also some for trig in general. If you eat popcorn while watching they are not bad.

Answer 21

I just barely started trig, sorry I can't help. I'm only working with tan, cos, and sin, of a right triangle. but @phi seems to be helping enough(:

Answer 22

do the same thing, except use 170 instead of 32

Answer 23

\frac{x}{170} = \frac{2\pi}{360}\]\]\[360x=170*2\pi\]\[x=170*\pi/180\]

Answer 24

Crud, the first line should have been
\[\frac{x}{170}=\frac{2\pi}{360}\]

Answer 25

It's just a simple proportion.

Answer 26

if i cross multiply there what would i get

Answer 27

i dont have a calculator on me it just ran out of batteries :o

Answer 28

For back of the envelope work, 1 radian is about 57 degrees.

Cross multiplying is what I did. \[360x = 170*2\pi\]

Answer 29

you can use google.
type
170*pi/180=
into the google search window

Answer 30

ooh okay i didn't know that thanks :)
so 2.97?

Answer 31

yes

Answer 32

Sounds about right.

Answer 33

thank you both so much, i will go over these both again to understand it better. you really helped me out a lot! :)

Answer 34

also, take a peek at the videos

Answer 35

what videos? :)