How do you convert 350 degrees into radians?

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Answer 1 · 2018-03-02T02:46:52

$1.944 π$ $1.944pi$ radians

Radians is $r a d$ $rad$

Since $180^{o} = π r a d$ $180^o=pi rad$

$\frac{180^{o}}{180} = \frac{π}{180} r a d$ $180^o/180 = pi/(180) rad$

$1^{o} = \frac{π}{180} r a d$ $1^o = pi/(180) rad$

Now, we get from $1^{o}$ $1^o$ to $350^{o}$ $350^o$ by multiplying by $350$ $350$

So, we do the same to the other side:

$1^{o} \cdot 350^{o} = \frac{π}{180} r a d \cdot 350^{o}$ $1^o * 350^o = pi/(180) rad * 350^o$

$\frac{π}{180} r a d \cdot 350^{o}$ $pi/(180) rad * 350^o$

$= \frac{350}{180} π$ $=350/180 pi$

$\approx 1.944 π$ $~~1.944pi$ radians

And there we have our answer.