A) 462 sq cm
B) 539 sq cm
C) 616 sq cm
D) 693 sq cm
Correct Answer: C
Solution :
Area of the square\[={{(side)}^{2}}\] \[484={{(side)}^{2}}\] Side \[=\sqrt{484}=22\,\text{cm}\] \[\therefore \]Perimeter of the square \[=4\times \] side\[=4\times 22=88\,\,\text{cm}\] According to the question, the circle is made by same wire. Therefore, Perimeter of the square = Circumference of Ac circle \[88\,\,\text{cm}=2\pi r\] \[88\,\text{cm}=2\times \frac{22}{7}\times r\] \[\therefore \] \[r=\frac{88\times 7}{2\times 22}=14\,\text{cm}\] \[\therefore \]Area of circle \[=\pi {{r}^{2}}=\frac{22}{7}\times {{(14)}^{2}}=\frac{22}{7}\times 14\times 14\] = 616 sq cmYou need to login to perform this action.
You will be redirected in
3 sec