Question

is the area of the largest circle that can be grawn inside a rectangle of length a cm and breadth b cm (a b) is 3.14 X b²

Answer 1

No.

If a>b, area of the largest circle that can be drawn inside the rectangle = $\mathrm{\pi }{\left(\frac{\mathrm{b}}{2}\right)}^2=\frac{3.14}{4}{\mathrm{b}}^2$

If b>a, area of the largest circle that can be drawn inside the rectangle = $\mathrm{\pi }{\left(\frac{a}{2}\right)}^2=\frac{3.14}{4}{a}^2$

If a=b(=R, say), then the rectangle is a square, and the ​area of the largest circle that can be drawn inside it = ​$\mathrm{\pi }{\left(\frac{R}{2}\right)}^2=\frac{3.14}{4}{R}^2$