The area of a regular hexagon can be calculated using the formula:
Area = (3√3/2) * side²
In this case, the length of each side of the hexagon is 8 cm. Plugging that value into the formula gives us:
Area = (3√3/2) * (8)²
Calculating that step-by-step:
- First, calculate (8)² = 64.
- Then, multiply 64 by (3√3/2):
Area = (3√3/2) * 64 = 96√3.
Next, we can estimate the numerical value of √3, which is approximately 1.732.
Thus, Area ≈ 96 * 1.732 ≈ 165.12 cm².
Therefore, the area of the hexagon is approximately 165.12 cm².