How do you convert -115 degrees to radians?

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How do you convert -115 degrees to radians?

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Answer 1 · 2018-03-04T02:31:51

${4.2832}^{c}$ $4.2832^c$

Explanation:

Degrees to radians conversion :

Radian = (degree / 360) * 2pi

$r = (- \frac{115}{360}) \cdot (2 π) \approx - 2^{c}$ $r = (-115/360) * (2pi) ~~ -2^c$

$\Rightarrow 2 π - 2 = {4.2832}^{c}$ $=> 2pi - 2 = 4.2832^c$

Answer 2 · 2018-03-04T03:27:14

$\frac{49 π}{36}$ $(49pi)/36$ , or $4.276 rad$ $4.276"rad"$

Explanation:

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

We have $- 115^{\circ}$ $-115^@$ . To find the coterminal, add or subtract $360^{\circ}$ $360^@$ until $0^{\circ} \leq x \leq 360^{\circ}$ $0^@<=x<=360^@$ .

So we can say $- 115 + 360 = 245^{\circ}$ $-115+360=245^@$

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

$r = \frac{d π}{180}$ $r=(dpi)/180$

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

$r = \frac{245 π}{180}$ $r=(245pi)/180$

$r = \frac{49 π}{36}$ $r=(49pi)/36$ , or $4.276 rad$ $4.276"rad"$

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How do you convert -115 degrees to radians?

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