A) \[50{}^\circ \]
B) \[210{}^\circ \]
C) \[100{}^\circ \]
D) \[60{}^\circ \]
E) \[30{}^\circ \]
Correct Answer: B
Solution :
Length of wire\[=2\pi r=2\times \frac{22}{7}\times 7\] \[=44\text{ }cm\] Let\[\theta \]be the angle subtended by an arc at the centre. \[\therefore \] \[44=\frac{22}{7}\times \frac{2\times 12\times \theta }{360{}^\circ }\] \[\Rightarrow \] \[\theta =\frac{44\times 7\times 360{}^\circ }{22\times 2\times 12}\] \[=210{}^\circ \]
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