A) \[1\frac{29}{48}\,\,\text{c}{{\text{m}}^{\text{2}}}\]
B) \[2\frac{29}{48}\,\,\text{c}{{\text{m}}^{\text{2}}}\]
C) \[1\frac{27}{48}\,\,\text{c}{{\text{m}}^{\text{2}}}\]
D) \[2\frac{27}{48}\,\,\text{c}{{\text{m}}^{\text{2}}}\]
Correct Answer: A
Solution :
Let the radius of the circle be real. According to the question, \[2\pi r=11\] \[\Rightarrow \] \[2\times \frac{22}{7}r=11\] \[\Rightarrow \] \[r=\frac{11\times 7}{2\times 22}=\frac{7}{4}\,cm\] \[\therefore \] Area of the sector AOB \[\therefore \] \[=\frac{\theta }{360{}^\circ }\times \pi {{r}^{2}}\] \[=\frac{60{}^\circ }{360{}^\circ }\times \frac{22}{7}\times \frac{7}{4}\times \frac{7}{4}\,sq\,cm\] \[=\frac{77}{48}=1\frac{29}{48}\,\,\text{sq}\,\,\text{cm}\]You need to login to perform this action.
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