What is the area of a regular hexagon with a side length of 14ft?
To find the area of a regular hexagon, we can use the formula:
Area = (3 × √3 × s²) / 2
Where "s" represents the length of one side of the hexagon.
In this case, the side length of the hexagon is 14ft.
So, to find the area, we substitute the value of "s" into the formula:
Area = (3 × √3 × 14²) / 2
Now, let's calculate the area step by step:
1. Calculate the square of the side length:
14² = 14 × 14 = 196
2. Multiply the square of the side length by 3:
196 × 3 = 588
3. Take the square root of 3:
√3 ≈ 1.732
4. Multiply the result from step 2 by the square root of 3:
588 × 1.732 ≈ 1018.512
5. Finally, divide the result by 2 to get the area of the regular hexagon:
1018.512 / 2 = 509.256
Therefore, the area of the regular hexagon with a side length of 14ft is approximately 509.256 square feet.