Find the area of the largest circle that can be drawn inside a rectangle with sides 8m × 9m.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 50\(\frac{2}{7}\) m2
A circle inside a rectangle can be no wider than the shorter side, so the largest circle has a diameter equal to the shorter side, 8 m.
Radius \(=8\div2=4\) m
Area \(\displaystyle =\pi r^{2}=\frac{22}{7}\times4\times4=\frac{352}{7}=50\frac{2}{7}\,\mathrm{m^2}\)