Question

find the area of a regular hexagon in which each diagonal measures 6 cm

Answer 1

Answer:

$23.38 \: {cm}^{2}$

Step-by-step explanation:

The length of diagonal is 6 cm.

Length of half diagonal is 3 cm.

Now, hexagon can be divided into 6 equilateral triangles with apex angle 60 degrees.

Now, area of equilateral triangle =

$\frac{ \sqrt{3} }{4} {a}^{2} = 3.897 \ \: {cm}^{2}$

Where a is the side of triangle=3 cm

Area of regular hexagon =6*3.897

$23.38 \: {cm}^{2}$