How to Calculate the Area of a Hexagon

A hexagon is a six-sided polygon.
••• Alberto Masnovo/iStock/Getty Images

A hexagon is a shape composed of six equilateral triangles. Accordingly, you can calculate a hexagon’s area by finding the area of the triangles and adding those areas together. Because the triangles are equilateral, you only need find the area of one triangle and multiply the result by six.

    Draw three lines within the hexagon. Starting at each vertex, or corner, of the hexagon, draw a line straight across to the vertex on the other side. The result will be a hexagon segmented into six equilateral triangles.

    Find the area of one triangle. Use the equation for the area of a triangle, A = (1/2)_b_h, in which b is the base length of the triangle, and h is the height. For example, if you have a hexagon with each side measuring 6 inches and with each inner triangle’s height measuring 5.2 inches, plug these numbers into the equation to get (1/2)_6_5.2. The result is the area of a single triangle within the hexagon: 15.6 inches.

    Multiply the area of the triangle by 6. This calculates the areas of all the triangles combined, thereby giving the area of the entire hexagon. In the example, multiply 15.6 by 6 to get 93.6 square inches as the answer.

    Tips

    • You can also multiply 1.5 by the square root of 3 and then multiple that product by the square of one side to get the area of the hexagon. Some instructors may want to see the area as a multiple of the square root of 3 rather than as a decimal.

Related Articles

How to Find the Area of a Triangle From Its Vertices
How to Solve a Hexagon
How to Calculate Perimeter and Area Ratio
How to Find the Area of a Polygon
How to Calculate the Length of Octagon Sides
How to Calculate Volume of a Circular Cylinder
How to Find the Length and Width of a Rectangle When...
How to Convert Square Dimensions to Round
How to Solve Equations on Isosceles Triangles
How to Find the Area & Width of a Rectangle
How to Calculate Sides of a Triangle
How to Calculate Area for an Uneven Quadrilateral
How to Calculate the Base of a Shape
How to Find the Total Surface Area of a Closed Cylinder
How to Calculate Height From Volume
How to Find the Cross Sectional Area of a Pipe
How to Find Dimensions in Geometric Shapes
How to Find the Area of Squares
How to Find the Volume of a Triangular Pyramid
How to Calculate a Circular Area