In circular measure, the value of the angle 11°15′ is :
In circular measure, the value of the angle 11°15′ is :
[A]$latex \frac{\pi^{c}}{16}&s=1$
[B]$latex \frac{\pi^{c}}{8}&s=1$
[C]$latex \frac{\pi^{c}}{4}&s=1$
[D]$latex \frac{\pi^{c}}{12}&s=1$
$latex \frac{\pi^{c}}{16}&s=1$
11°15′
$latex => 11\textdegree$ + $latex \frac{15\textdegree}{60}&s=1$
$latex => 11\textdegree$ + $latex \frac{1}{4}&s=1$ = $latex \frac{45\textdegree}{4}&s=1$
$latex =>$ [180° = π Radian]
$latex \therefore \frac{45^{\circ}}{4} = \frac{\pi}{180}\times \frac{45}{4}=\frac{\pi^{c}}{16}&s=1$
Hence option [A] is correct answer.