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 $- 0.872664626 \approx - 0.27777777777868 \cdot π$ $-0.872664626 ~~ -0.27777777777868* pi$ .

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

$k π = - 0.872664626$ $kpi = -0.872664626$

So $k = - \frac{0.872664626}{π} \approx - 0.277777777778680 . . .$ $k = -0.872664626/pi ~~ -0.277777777778680 . . .$

And $- 0.872664626 \approx - 0.27777777777868 \cdot π$ $-0.872664626 ~~ -0.27777777777868* pi$

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

$- 0.2 ¯ 7$ $-0.2bar(7)$ . Which is $\frac{5}{18}$ $5/18$ . So we would write:

$- 0.872664626 \approx - \frac{5}{18} π$ $-0.872664626 ~~ -5/18 pi$