question_answer

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 \[=\frac{\pi {{d}^{2}}}{4}=\frac{1}{4}\times \frac{22}{7}\times {{(28)}^{2}}c{{m}^{2}}\]             \[=22\times 28\,c{{m}^{2}}\]             \[=616\,c{{m}^{2}}\]