The area of a regular hexagon can be calculated using a specific formula. For a hexagon where each side measures s, the area A is given by:
A = rac{3 ext{√3}}{2}s^2In this case, the side length s is 8 cm. Plugging this value into the formula:
A = rac{3 ext{√3}}{2} imes (8)^2
Calculating that further:
- (8)^2 = 64
- A = rac{3 ext{√3}}{2} imes 64
- A = 96 ext{√3} cm² (approximately 166.28 cm²)
Therefore, the area of the regular hexagon with each side measuring 8 cm is approximately 166.28 cm².