How do you convert 5π7 into degrees?

1 Answer
Prof Guillemette
Aug 3, 2015

you need to use the conversion π=180 to get the answer

Explanation:

5⋅π7 is a radian measure which needs to be converted to degrees. For that we need a simple conversion factor: π=180

Now we are going to setup an equation with the conversion factor. A nice way to do this is to take advantage of the proportionality of the problem. So we set the equations up like this:

5⋅π7=x in the same proportion as π=180

5⋅π7/π=x180

we want to simplify this by changing the division to a multiplication

5⋅π7⋅(1π)=x180

now we simplify the ππ=1

57=x180

to solve we simply undo the division on x with a multiply

180⋅(57)=x

x=9007=128.571
(we changed the direction at the end to follow convention)

NOTE: always put the same units in the same fraction
radrad=degreesdegrees

and that makes us happy. :)

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