Convert -450° from degrees to radians. Use the value of π found on a calculator and round answers to four decimal places, as needed.

Question

anonymous · Answer

@hartnn

anonymous · Answer

how many degrees in a circle?

anonymous · Answer

you have to divide -450 by 180 correct?

anonymous · Answer

better to think of it as a conversion, then i think it's easier to keep straight...

$360^{\circ} = 2\pi \text{ radians}$  we use this to make a conversion factor.  since you are given degrees and want to convert to radians, radians needs to be on top and degrees on the bottom:$$-450^{\circ}\cdot \frac{ 2 \pi }{ 360^{\circ} } = ? \text{ radians}$$
just multiply and divide... the units cancel leaving radians

anonymous · Answer

or simplify then perform the operations... the result will be the same.