angular displacement

Question

A wheel rotates through 720 degrees. Angular displacement in radians is:

RankGuru · Accepted Answer

The relationship between degrees and radians is:
$180^\circ = \pi 	ext{ radians}$
To convert $720^\circ$ to radians:
$	heta = 720^\circ 	imes \frac{\pi 	ext{ rad}}{180^\circ} = 4\pi 	ext{ rad}$.
Alternatively, since one full revolution is $360^\circ$ or $2\pi$ radians, $720^\circ$ is exactly two revolutions ($2 	imes 2\pi = 4\pi$).

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