A) \[{{11}^{o}}27\]
B) \[{{\left( 11\frac{5}{11} \right)}^{o}}\]
C) \[{{\left( 12\frac{5}{12} \right)}^{o}}\]
D) \[{{\left( 12\frac{7}{12} \right)}^{o}}\]
Correct Answer: B
Solution :
\[r=50\,\,cm\]and\[s=10\,\,cm\] \[\therefore \] \[\theta ={{\left( \frac{s}{r} \right)}^{c}}\Rightarrow \theta =\frac{10}{50}={{\left( \frac{1}{5} \right)}^{c}}\] \[={{\left( \frac{1}{5}\times \frac{180}{\pi } \right)}^{o}}={{\left( \frac{36}{22}\times 7 \right)}^{o}}={{\left( \frac{126}{11} \right)}^{o}}\] \[={{\left( 11\frac{5}{11} \right)}^{o}}\]
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