How do you convert -115 degrees to radians?

Question

5215 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T02:31:51

#4.2832^c#

Degrees to radians conversion :

Radian = (degree / 360) * 2pi

#r = (-115/360) * (2pi) ~~ -2^c#

#=> 2pi - 2 = 4.2832^c#

Answer 2 · 2018-03-04T03:27:14

#(49pi)/36#, or #4.276"rad"#

We can find the coterminal angle for this angle, and convert that to radians.

We have #-115^@#. To find the coterminal, add or subtract #360^@# until #0^@<=x<=360^@#.

So we can say #-115+360=245^@#

To convert to radians, #r#, where the degree measure is #d#, use:

#r=(dpi)/180#

And here, #d=245#, so we can input:

#r=(245pi)/180#

#r=(49pi)/36#, or #4.276"rad"#