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May 5th, 2017, 12:14 PM   #1
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Radian to Degree Minute Seconds

Convert $\displaystyle 3/(pi) to Degree Minutes and Seconds$
Please step by step with explaination
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May 5th, 2017, 03:07 PM   #2
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$\dfrac{3}{\pi} \text{ radians} \cdot \dfrac{180^\circ}{\pi \text{ radians}} = \dfrac{540^\circ}{\pi^2} \approx 54.71343917^\circ$

note, $0.1^\circ = 6' \implies 0.7^\circ = 42'$

$0.01343917^\circ = \left(\dfrac{1343917}{10^8}\right)^\circ = \dfrac{x''}{3600} \implies x = 48.381012''$

so ... $54.71343917^\circ = 54^\circ \, 42' \, 48.381012''$

of course, the easier method is to have a calculator that will do the conversion for you since doing it by hand has become passé ...
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