Find the area of the largest circle that can be drawn inside a rectangle with sides 8m × 9m.

50\(\frac{2}{7}\) m²

Radius (r) of largest circle that can be drawn inside the rectangle  = \(\frac{smallest\;side}{2}\) = \(\frac{8}{2}\) = 4

Area of circle = \(\pi \) r²

                    = \(\frac{22}{7}\) × 4²

                    = \(\frac{22}{7}\) × 16

                    =\(\frac{352}{7}\)

                    = 50\(\frac{2}{7}\) m²