Question

What is the area of a regular hexagon if a side is 30

Answer 1

Answer:

$1350\sqrt{3}$ square units (approximately 2338.26859)

Step-by-step explanation:

The formula for finding the area of a regular hexagon when you know its side length is $A=\frac{3\sqrt{3}*s^2}{2}$, where $A$ is the area and $s$ is the side length.

1. Substitute in the side length. $A=\frac{3\sqrt{3}*30^2}{2}$
2. Simplify the exponent. $A=\frac{3\sqrt{3}*900}{2}$
3. Multiply. $A=\frac{2700\sqrt{3}}{2}$
4. Divide. $A=1350\sqrt{3}$

$1350\sqrt{3}$ is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.