some people remember a formula for this, but I uncover it challenging to remember lock so ns work most things out.

You are watching: What is 330 degrees in radians?

This is exactly how Imight execute it - i am treating it as a ratio. I recognize that there room pi radians in 180 degrees.

$$\beginarrayrll \fracx330&=&\frac\pi180\\\\ x&=&\frac\pi\times 330180\\\\ x&=&\frac\pi\times 116\qquad \mboxThis is the exact variety of radians\\\\ \endarray$$

$$\frac\mathtt\pi\mathtt\,\times\,\mathtt330\mathtt180 = \mathtt5.759\: \!586\: \!531\: \!581\: \!287\: \!6$$

Melody Jul 3, 2014

#1
+121055
+5

330° x (π/180°) = (11π)/6

CPhill Jul 3, 2014
#2
+114511
+10

some civilization remember a formula because that this, however I find it complicated to remember castle so i work most things out.

This is just how Imight perform it - i am dealing with it together a ratio. I know that there room pi radians in 180 degrees.

$$\beginarrayrll \fracx330&=&\frac\pi180\\\\ x&=&\frac\pi\times 330180\\\\ x&=&\frac\pi\times 116\qquad \mboxThis is the exact variety of radians\\\\ \endarray$$

$$\frac\mathtt\pi\mathtt\,\times\,\mathtt330\mathtt180 = \mathtt5.759\: \!586\: \!531\: \!581\: \!287\: \!6$$

Melody Jul 3, 2014

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