How do you find the area of a regular hexagon when you only know the side length (12 units)?

Question

1043 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-30T15:10:47

#3 * sqrt 3 / 2 * 144 = 216 sqrt 3# units²

#A = p * a#

side "L"enght = #L = r#

#2p = 6 r#

#a# is the height of the triangle of sides #(r, r, r)# because the angles are #(pi/3, pi/3, pi/3)#

You use Pythagorean theorem to show that #a = (r sqrt 3) / 2#

#A = 3r * (r sqrt 3)/2#