What is the formula of Surface area of a Octagon?
Why would you need a "formula"
First of all, we should assume that it is a regular octogon
Then you would have 8 congruent and isosceles triangle
with a vertex angle of 45°
Depending on what information is given:
1. If you know one the isosceles sides, let's call it s
then area = 8(1/2)(s^2)sin45°
2. If you know the side of the octagon,
then it is easy to find the height of each triangle,
then use (1/2)(base)(height) to find the area of ONE triangle,
then multiply it by 8
To find the surface area of an octagon, you first need to determine whether you are referring to a regular octagon (all sides and angles are equal) or an irregular octagon (sides and/or angles are unequal). The formula for finding the surface area will differ depending on the type of octagon.
For a regular octagon, the formula for surface area is:
Surface Area = 2 * (1 + √2) * s^2
where s is the length of one side of the octagon.
To calculate the surface area of an irregular octagon, you will need to separate it into smaller shapes with known formulas, such as triangles and rectangles. Add the areas of these smaller shapes together to find the total surface area of the octagon.
Remember to measure the sides accurately before plugging them into the formula.