A) 462 sq cm
B) 539 sq cm
C) 616 sq cm
D) 693 sq cm
Correct Answer: C
Solution :
Length of wire \[\text{=}\,\,\text{4 }\!\!\times\!\!\text{ }\sqrt{\text{Area}\,\,\text{of}\,\,\text{square}}\] \[=4\sqrt{484}=4\times 22=88\,\,\text{cm}\] Let the radius of circle = r cm Clearly, circumference of circle = 88 cm \[\Rightarrow \] \[2\pi r=88\] \[\Rightarrow \] \[2\times \frac{22}{7}\times r=88\] \[\Rightarrow \] \[r=\frac{88\times 7}{2\times 22}=14\,\,\text{cm}\] \[\therefore \] Area of circle \[=\pi {{r}^{2}}=\frac{22}{7}\times 14\times 14=616\,\,\text{c}{{\text{m}}^{2}}\]You need to login to perform this action.
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