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In circular measure, the value of the angle 11°15' is:
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {11^ \circ }15' = 11 + \frac{{15}}{{60}} = 11 + \frac{1}{4} = \frac{{{{45}^ \circ }}}{4} \cr
& {\text{We know }}\pi \,{\text{radian}} = {180^ \circ } \cr
& {1^ \circ } = \left( {\frac{\pi }{{180}}} \right){\text{ radian,}} \cr
& \frac{{{{45}^ \circ }}}{4} = \frac{\pi }{{{{180}^ \circ }}} \times \frac{{{{45}^ \circ }}}{4} = \frac{{{\pi ^c}}}{{16}} \cr} $$
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