What is $(4pi)/3$ radians in degrees?

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Answer 1 · 2015-12-19T23:13:54

$240^@$

Since we know our good old friend the unit circle is $2pi$ radians and also $360$ degrees

We get a conversion factor of $(2pi)/360$ $"radians"/"degrees"$ which can be simplified to $pi/180$ $"radians"/"degrees"$

Now to solve the problem

$(4pi)/3$ * $180/pi$ = $240^@$

What is (4pi)/3 (4pi)/3 radians in degrees?