Question

ABCDEF is a regular hexagon with centre O . If area of triangle OAB is $9c{m}^2$, find the area of the hexagon.

Answer 1

$\Rightarrow$ Area of $△OAB=9c{m}^2$

$\Rightarrow$ We know that a regular hexagon is made up of $6$ equilateral triangles.

$\Rightarrow$ Area of the hexagon $ABCDEF=6\times ar\left(△OAB\right)$

$\therefore$ Area of the hexagon $ABCDEF=6\times 9$

$\therefore$ Area of the hexagon $ABCDEF=54c{m}^2$