Question

Find the area of a regular hexagon if given a side length of 1.9 to the square root of 3.

Answer 1

Answer:

28.137 sq. units.

Step-by-step explanation:

Area of a regular hexagon is

$A=\dfrac{3\sqrt{3}}{2}a^2$

where, a is the side length.

It is given that the side length of the regular hexagon is $1.9\sqrt{3}$.

Substitute $a=1.9\sqrt{3}$ in the above formula.

$A=\dfrac{3\sqrt{3}}{2}(1.9\sqrt{3})^2$

$A=(1.5\sqrt{3})(10.83)$

$A=16.245\sqrt{3}$

$A=28.137$

Therefore, the area of regular hexagon is 28.137 sq. units.