What is the area of a hexagon with an apothem of 24 m?

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.)

by definition, an arc subtended by a central angle of some given measure has the same measure. so .