How do I write radian decimals in terms of Pi?

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To express 1.047 radians in terms of pi, the conversion involves recognizing that 1.047 is approximately equal to pi/3. The calculation 1.047 divided by pi yields approximately 0.33327, which is close to 1/3. The relationship can be derived by setting the equation 1.047 = pi/x, leading to x being approximately 3.001. Understanding significant figures is crucial in maintaining accuracy during this conversion process.
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How would i write 1.047 rad in terms of pi? I know the answer i will get is Pi/3 rad, but HOW do i get this answer? I know how to convert degrees to radians and vice versa in terms of pi but this particular question is in radians. Help?
 
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1.047/pi≈1/3
1/3*pi=pi/3
 
n_kelthuzad said:
1.047/pi≈1/3
1/3*pi=pi/3

But when I calculate 1.047 / pi I get 0.33327. How did you get 1.047/pi ≈ 1/3 ? that's the only part i don't understand
 
Since your result 1.047 is written with 4 significant figures, you ought to keep that many in \theta = \pi / x \Rightarrow x =\pi / \theta = 3.001.
 

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