SSC
Sample Paper
Mock Test-6 SSC CGL Tear-II Paper-1
question_answer
If the area of a circle inscribed in a square is \[9\pi \,\,c{{m}^{2}}\]then the area of the square is
A) \[24\,\,c{{m}^{2}}\]
B) \[30\,\,c{{m}^{2}}\]
C) \[36\,\,c{{m}^{2}}\]
D) \[81\,\,c{{m}^{2}}\]
Correct Answer:
C
Solution :
Area of the circle\[=\pi {{r}^{2}}=9\pi \] \[\Rightarrow \] \[{{r}^{2}}=9\] \[\Rightarrow \] \[r=\sqrt{9}=3\,\,\text{cm}\] \[\therefore \]Side of the square \[=2\,r=6\,\,\text{cm}\] \[\therefore \]Area of the square \[=\text{sid}{{\text{e}}^{\text{2}}}=6\times 6=36\,\,\text{c}{{\text{m}}^{2}}\]