Question

Find the approximate Perimeter of a regular hexagon that has an area of 36 mi2 and an apothem of 3.2 mi.

Area = 36 mi2

Answer 1

Parameter of given regular hexagon = 22.32 mi (Approx.)

Explanation:

Given:

Area of given regular hexagon = 36 mi²

Find:

Parameter of given regular hexagon

Computation:

Area of regular hexagon = [(3√3)/2]a²

[(3√3)/2]a² = 36

a² = [36 x 2] / 3√3

a² = [12 x 2] / √3

a² = 24 / √3

a² = 8√3

a² = 8 x 1.732

a² = 13.856

Side a = 3.72 mi (Approx.)

Parameter of given regular hexagon = 6 x Side

Parameter of given regular hexagon = 6 x 3.72

Parameter of given regular hexagon = 22.32 mi (Approx.)