Question

E
6. The length of each side of a regular hexagon is 6cm,
IFCF=10cm AE=8 cm, find the area of the hexagon.
(You can try different methods)
c
T
B
А​

Answer 1

Given:

The length of each side of a regular hexagon is 6cm,

IFCF=10cm AE=8 cm

To find:

Find the area of the hexagon

Solution:

From given, we have,

The length of each side of a regular hexagon is 6cm

we use the formula,

Area of hexagon = (3√3/2) a²

where, a = 6 cm (given)

so, we get,

Area of hexagon = 3√3/2 (6)²

Area of hexagon = (3√3/2) × 36

Area of hexagon = (3√3) × 18

Area of hexagon = 54√3 cm²

Therefore, the area of hexagon given the length of each side of a regular hexagon is 6cm is 54√3 cm²