Question 1

What is the across-flats measurement of an octagon?

Accepted Answer

Across flats is the perpendicular distance between two opposite parallel sides. It equals 2 x apothem = s x (1 + sqrt(2)), approximately 2.414 x s. For side 5: across flats = 12.07 units. This is the wrench size needed for an octagonal bolt head.

Question 2

What is the across-corners measurement?

Accepted Answer

Across corners is the distance between two opposite vertices (the longest diagonal). It equals 2 x circumradius = s / sin(22.5), approximately 2.613 x s. For side 5: across corners = 13.07 units.

Question 3

What is the apothem of a regular octagon?

Accepted Answer

The apothem is the perpendicular distance from the center to the midpoint of one side. For a regular octagon: apothem = s x (1 + sqrt(2)) / 2, approximately 1.207 x s. For side 5: apothem = 6.04. Area can also be computed as (1/2) x perimeter x apothem.

Question 4

How do I build an octagonal gazebo with side 4 feet?

Accepted Answer

With side 4 ft: perimeter = 32 ft (total lumber for sides), across flats = 9.66 ft (interior width), across corners = 10.45 ft (diagonal measurement for checking squareness), area = 77.25 sq ft (flooring needed). Each interior angle is 135 degrees, so you need 45-degree miter cuts at each joint.

Question 5

How does a regular octagon compare to a circle?

Accepted Answer

A regular octagon inscribed in a circle covers about 90% of the circle area. The across-corners dimension equals the circle diameter. Octagons are often used to approximate circles in construction because straight edges are easier to cut and join than curves.

Calculadora de Dimensoes do Octagono

Insira os valores

Resultado

Formula

Exemplo Resolvido

Perguntas Frequentes

O que e o apotema de um octagono?

Qual e a diagonal de um octagono regular?

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