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How do you convert $\frac{5 π}{3}$ $(5pi)/3$ radians to revolutions?

1 Answer

Jul 24, 2015

$\frac{5 π}{3}$ $(5pi)/3$ radians $= \frac{5}{6}$ $= 5/6$ of a revolution

Explanation:

$1$ $1$ revolution = $2 π$ $2pi$ radians
$\to$ $rarr$ $XXXX$ $color(white)("XXXX")$ $1$ $1$ radian $= \frac{1}{2 π}$ $= 1/(2pi)$ revolution(s)

$\to$ $rarr$ $XXXX$ $color(white)("XXXX")$ $\frac{5 π}{3}$ $(5pi)/3$ radians $= \frac{5 π}{3} \cdot \frac{1}{2 π} = \frac{5}{6}$ $= (5pi)/3 * 1/(2pi) = 5/6$ revolution(s)

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