Question

Find the area of a regular hexagon with side length is 4 cm.

• A. 52. 54
• B. 41.56
• C. 46.62
• D. 56.62

Answer 1

The correct option is B 41.56

Given regular hexagon has the side length of 4 cm.
We can split the given regular hexagon into 6 equilateral triangles.
Area of equilateral triangle = $\frac{\sqrt{3}}{4}$ $(side{)}^2$
Area of hexagon = 6 $\times$ $\frac{\sqrt{3}}{4}$ $(side{)}^2$
= $\frac{3\sqrt{3}}{2}$ $\times$ $(side{)}^2$
= $\frac{3\sqrt{3}}{2}$ $\times$ $4^2$
= 41.56 $c{m}^2$