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Change each radian measure to degree measure. Round to the nearest tenth, if necessary. 1.) 4π

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baxthum8 eNotes educator | Certified Educator

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Change `4pi ` to degree measure.

Multiply radians by `(180˚)/pi ` to convert to degrees.

Therefore,  ` 4pi ` `*` `180/pi ` .

`pi` cancels which leaves 4 `*` 180 = 720.

`4pi `=720˚

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Wiggin42 | Student

We know that the conversion factor is pi radians = 180 degrees. Since we are given the measure in radians we will multipliy by 180 degrees / pi radians so that units and pi cancels properly. 

4pi x 180/pi = 720 degrees.