A) \[\text{7}.\text{68 c}{{\text{m}}^{\text{2}}}\]
B) \[\text{8}\text{.2 c}{{\text{m}}^{\text{2}}}\]
C) \[\text{8}\text{.86 c}{{\text{m}}^{\text{2}}}\]
D) \[\text{9}.\text{428 c}{{\text{m}}^{\text{2}}}\]
Correct Answer: D
Solution :
| [d] Angle made by hour hand in 1 hour |
| \[=\frac{360{}^\circ }{12}=30{}^\circ \] |
| Also, \[r=6cm\] |
| \[\therefore \] Area swept made by hour hand in 1hour |
| =Area of sector having central angle \[30{}^\circ \] |
| \[=\pi {{r}^{2}}\times \left( \frac{30{}^\circ }{360{}^\circ } \right)=\frac{22}{7}\times 6\times 6\times \frac{1}{12}=\frac{66}{7}\]\[=9.428c{{m}^{2}}\] |
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