How do you convert -115 degrees to radians?

Question

5617 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 $4.276"rad"$