To find the area of a regular hexagon, you can use the formula:
Area = (3√3 / 2) × s²
Here, s is the length of a side of the hexagon.
Since the side length of your regular hexagon is 10 units, you will substitute s with 10:
Area = (3√3 / 2) × 10²
Now, calculate 10²:
10² = 100
Next, plug that value into the area formula:
Area = (3√3 / 2) × 100
Simplifying further:
Area = 150√3
This means the area of your regular hexagon is approximately:
Area ≈ 150 × 1.732 = 259.81 square units
So, the area of a regular hexagon with a side length of 10 units is about 259.81 square units.