Aptitude Question ID : 92979

The degree measure of 1 radian is :
[A]$latex 57\textdegree32’16”$
[B]$latex 57\textdegree61’22”$
[C]$latex 57\textdegree16’22”$
[D]$latex 57\textdegree22’16”$

$latex \mathbf{57\textdegree16’22”}$
$latex \therefore 1 radian = \frac{180\textdegree}{\pi}&s=1$
$latex = \frac{180\times7\textdegree}{22}&s=1$
$latex = \frac{630}{11} = 57\frac{3}{11}\textdegree&s=1$
$latex = 57\textdegree\frac{3}{11}\times 60′ = 57\textdegree\frac{180′}{11}&s=1$
$latex = 57\textdegree16’\frac{4}{11}\times 60” = 57\textdegree16’22”&s=1$
Hence option [C] is the right answer.


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