How do you convert -0.872664626 radians into π terms?

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Answer 1 · 2015-07-28T12:52:41

Use algebra to get #-0.872664626 ~~ -0.27777777777868* pi# .

To write #-0.872664626# as a multiple if #pi#, solve:

#kpi = -0.872664626#

So #k = -0.872664626/pi ~~ -0.277777777778680 . . . #

And #-0.872664626 ~~ -0.27777777777868* pi#

Assuming that you think the answer should be some rational number times #pi#, you would take this to be

#-0.2bar(7)#. Which is #5/18#. So we would write:

#-0.872664626 ~~ -5/18 pi#