20.3 cm 2
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Another opinion:
I've never done one of these before, but I tried this one,
and for my answer, I got 140.5 cm2.
Put one angle of each triangle at the center of the hexagon.
It is at the intersection of the hexagon's lines of symmetry, i.e. the middle! It is the midpoint of any diameter.
It probably is a regular hexagon. Take the Apothem (The distance from the center to a side) and multiply by one half and by the perimeter. if the sum of interior angles of a polygon is 120 then (n-2)180=120==>n=8/3 which is impossible
if r = perpendicular distance center of hexagon to a side, and r^2 = r squared, then AREA = 6x r^2 x tan 30 degrees = 3.464 r^2 or if R = distance center of hexagon to a corner, AREA = 3 R^2 sin 60 = 2.598 R^2
P=perimeter s=sides h=altitude (distance from the center to a side at a right angle) A=1/2aP or A=1/2(6s x a) Edit - If the hexagon is regular, the area can be found by this formula: 3s^2 * 3^(1/2) / 2 Where s=side length of the hexagon and in this case squared and 3^(1/2)=square root of 3
Put one angle of each triangle at the center of the hexagon.
It is at the intersection of the hexagon's lines of symmetry, i.e. the middle! It is the midpoint of any diameter.
From each vertex to its opposite vertex. These will be centered on a shared point at the center of the hexagon. Each complete line will be a line of symmetry for the hexagon.
It probably is a regular hexagon. Take the Apothem (The distance from the center to a side) and multiply by one half and by the perimeter. if the sum of interior angles of a polygon is 120 then (n-2)180=120==>n=8/3 which is impossible
3.55
if r = perpendicular distance center of hexagon to a side, and r^2 = r squared, then AREA = 6x r^2 x tan 30 degrees = 3.464 r^2 or if R = distance center of hexagon to a corner, AREA = 3 R^2 sin 60 = 2.598 R^2
No, it is the distance from the center of the polygon to the centre of one of its sides.
A Apothem
That is called the apothem. The definition is: An Apothem is the distance from the center of a regular polygon to the midpoint of a side
P=perimeter s=sides h=altitude (distance from the center to a side at a right angle) A=1/2aP or A=1/2(6s x a) Edit - If the hexagon is regular, the area can be found by this formula: 3s^2 * 3^(1/2) / 2 Where s=side length of the hexagon and in this case squared and 3^(1/2)=square root of 3
Apothem
The distance from the center to a corner is equal to one of the sides. If you add up the lengths of all 6 sides, that is the circumference.