Answer:
Area of Hexagon = 1,995 m² (Approx.)
Step-by-step explanation:
Given:
Length of apothem = 24 m
Number of total sides = 6
Find:
Area of Hexagon
Computation:
Side = a[2tan(180/n)]
Side = 24[2tan(180/6)]
Side = 24[2tan(30)]
Side = 27.71 m (Approx.)
Area of Hexagon = [3√3a²]/2
Area of Hexagon = [3(1.732)(27.71)²]/2
Area of Hexagon = [3(1.732)(767.8441)]/2
Area of Hexagon = 3989.71794 / 2
Area of Hexagon = 1994.8589
Area of Hexagon = 1,995 m² (Approx.)
