The area (in sq cm) of the largest circle that can be drawn inside a square of side 28 cm, is
A)17248
B)784
C)8624
D)616
Correct Answer:
D
Solution :
The diameter of the largest circle inscribed inside a square is equal to its side. \[\therefore \] \[d=a=28\,cm\] Area of the circle \[=\frac{\pi {{d}^{2}}}{4}=\frac{1}{4}\times \frac{22}{7}\times {{(28)}^{2}}c{{m}^{2}}\] \[=22\times 28\,c{{m}^{2}}\] \[=616\,c{{m}^{2}}\]