Given,
Area of regular hexagon = \(24\sqrt3\) cm2
From formula
\(\frac{3\sqrt3}2\times{a^2}\) = \(24\sqrt3\)
a2 = \(\frac{24\sqrt3\times2}{3\sqrt3}\) = 16
a = \(\sqrt{16}\) = 4 cm
So,
Area of circum circle of regular hexagon = π(side)2
= 3.14 × 4 × 4 cm2 = 50.24 cm2