The Area of Hexagon calculator computes the area of a regular Hexagon.
INSTRUCTIONS: Choose units and enter the following:
Area of the Hexagon (A): The calculator returns the area in square meters. However, this can be automatically converted to compatible units via the pull-down menu.
A regular hexagon is a six sided polygon where all of the sides are the same length (s) and all interior angles are the same (see the diagram). The formula for theis:
`A=3/2 * sqrt(3) * s^2`
A hexagon is a polygon with six sides and six angles. It is a two-dimensional geometric shape formed by connecting six straight line segments (sides) in a closed loop. Each interior angle of a regular hexagon (where all sides and angles are equal) measures 120 degrees. The sum of the interior angles in any hexagon is 720 degrees.
Hexagons are encountered in various natural and man-made contexts. In nature, honeycombs constructed by bees often exhibit a hexagonal pattern because it is an efficient way to fill space with the least amount of material. In geometry and design, hexagons are commonly used in patterns, tiling, and architectural structures. They also appear in everyday objects, such as nuts and bolts, and are widely used in fields like science, engineering, and mathematics.
Giant's Causeway's hexagons: Using this equation and the fact that the shoe in the picture is approximately 12" long and that the side of the hexagon is approximately the length of the shoe, the AREA of these regular hexagons is 2.5 ft2.
Hexagons were also used by NASA in the James Webb Space Telescope.
Image provide by: Bobarino - Own work based on: File:JWST-HST-primary-mirrors.jpg a NASA public domain image, CC BY-SA 3.0
The side of each JWST is approximately 0.737 meters. Use the sum of hexagon areas (CLICK HERE) to compute the total area of the 18 hexagon mirrors. The primary mirror of the Hubble Space Telescope is 2.4 meters in diameter. Use the area of a circle calculator (CLICK HERE) to compute the area of the Hubble Space Telescope primary mirror.
A regular polygon is a geometric shape with three or more straight sides where every side is the same length and every angle between connecting sides are the same angle. Because of the symmetry of the regular polygon, all the vertices of the polygon can be constructed to touch a circle in which the regular polygon is inscribed and all the chords that are polygon sides will then obviously be of equal length . Likewise, because of the regular polygon's symmetry, a circle constructed to be inscribed in a regular polygon and touching the polygon will touch the regular polygon at the midpoint of the polygon side. As shown in the pictures, Figure 1 and Figure 2, lines from the regular polygon's vertices to the circle's center form n isosceles triangles of equal area.
The names of polygons vary based on the number of sides as follows:
Polygon Area Calculators:
Polygon Side Calculators
Polygon Perimeter Calculators
Other Polygon Calculators