What is the area of a regular hexgon if one side is 2 cm. long (expressed in simplest radical form)?

5 ⤊

Please explain

2007-11-21 12:09:05 · 5 answers · asked by Bobby S 3 in Science & Mathematics ➔ Mathematics

6(a^2sqrt3)/4 = 6[(2cm)^2sqrt3]/4 = 6*4cm^2*1.732/4
= 6sqrt3 cm^2
= 10.39 cm^2

2007-11-21 12:14:22 · answer #1 · answered by sv 7 · 1⤊ 0⤋

The area is 10.392 cm^2.

2007-11-21 20:15:51 · answer #2 · answered by Devi 2 · 1⤊ 0⤋

The area of a regular hexagon of side length x is given by

A = [ 3sqrt3 / 2 ] x^2

A = 2.598 * 2^2 = 10.392 cm2

2007-11-21 20:16:56 · answer #3 · answered by achain 5 · 1⤊ 0⤋

area=[3*root(3)*t^2]/2 where t is the 2 in you case.

area=6*root(3)=10.3923048454

2007-11-21 20:15:13 · answer #4 · answered by info2know 3 · 1⤊ 0⤋

6sqrt3 cm^2
area = 10.39 cm^2

2007-11-21 20:37:00 · answer #5 · answered by Anonymous · 1⤊ 0⤋