In circular measure, the value of the angle 11°15′ is :

June 17, 2016 Quiz Questions

In circular measure, the value of the angle 11°15′ is :
[A]\frac{\pi^{c}}{16}
[B]\frac{\pi^{c}}{8}
[C]\frac{\pi^{c}}{4}
[D]\frac{\pi^{c}}{12}

\frac{\pi^{c}}{16}
11°15′
=> 11\textdegree + \frac{15\textdegree}{60}
=> 11\textdegree + \frac{1}{4} = \frac{45\textdegree}{4}
=> [180° = π Radian] \therefore \frac{45^{\circ}}{4} = \frac{\pi}{180}\times \frac{45}{4}=\frac{\pi^{c}}{16}
Hence option [A] is correct answer.

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