A) \[\text{12}.\text{83 c}{{\text{m}}^{\text{2}}}\]
B) \[\text{1}0.\text{33 c}{{\text{m}}^{\text{2}}}\]
C) \[\text{9}\text{.53 c}{{\text{m}}^{\text{2}}}\]
D) \[\text{11}.\text{37 c}{{\text{m}}^{\text{2}}}\]
Correct Answer: A
Solution :
| [a] Angle made by minute hand in 1 minute \[=6{}^\circ \] |
| \[\therefore \] Angle made by minute hand in 5 minutes |
| \[=6\times 5=30{}^\circ \] |
| Length of the minute hand = Radius of the sector made by minute hand, \[\text{r}=\text{7cm}\] |
| Hence, area swept by the minute hand in 5 minutes |
| \[=\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}=\frac{30{}^\circ }{360{}^\circ }\times \frac{22}{7}\times {{7}^{2}}\] |
| \[=12.83\,c{{m}^{2}}\] |
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