How do you convert $\frac{π}{3}$ $pi/3$ radians into degrees?

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How do you convert $\frac{π}{3}$ $pi/3$ radians into degrees?

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Answer 1 · 2018-06-30T21:22:21

$\frac{π}{3} = 60^{\circ}$ $pi/3=60^@$

Explanation:

$π$ $pi$ rad= $180^{\circ}$ $180^@$ , so we can plug this into our expression to get

$\frac{180}{3} = 60^{\circ}$ $180/3=60^@$

Maybe a more intuitive way to think about this is to multiply our given value by $\frac{180}{π}$ $180/pi$ . Notice that the unit we want, degrees, is in the numerator.

$pi/3*180/pi=cancelpi/cancel3*60cancel180/cancelpi$

$pi/3=60^@$

Hope this helps!

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