The area of the largest circle, that can be drawn inside a rectangle with side 18 cm by 14 cm, is :

A. 49 cm²

B. 154 cm²

C. 378 cm²

D. 1078 cm²

Answer: Option B

Solution(By Examveda Team)

Radius of the required circle :
$$\eqalign{ & = \left( {\frac{1}{2} \times 14} \right)cm \cr & = 7\,cm \cr} $$
Area of the circle :
$$\eqalign{ & = \left( {\frac{{22}}{7} \times 7 \times 7} \right)\,c{m^2} \cr & = 154\,c{m^2} \cr} $$