How to Calculate the Area of a Regular Octagon: Solved Example

BY Team Aakash Byju's

A Polygon is a closed figure made up of straight line segments in two dimensions. 

The Octagon is an eight-sided polygon in geometry.

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The Octagon is called a ‘Regular Octagon’ if the lengths of all sides and the measurements of all angles are equal.

The area and perimeter of an octagon can be calculated with a set of standardised collections of formulas.

The area of an octagon is defined as the area occupied within its boundary.

An octagon's area is calculated by dividing it into eight equal isosceles triangles.

Step 1: 

Calculate the size of one of the triangles, then multiply by eight to get the polygon's total area.

Step 2:

Draw a line from the apex of one of the triangles to the midpoint of the base to produce a right angle.

The triangle's base is 'a', which is also a side of a polygon, and the triangle's height is OD.

Some important properties of a regular octagon are:

1. It has eight sides and eight angles. 2. The lengths of all sides and angles are equal.

 1080 degrees is the sum of all interior angles, with each inside angle measuring 135 degrees.

360 degrees is the sum of all exterior external angles, with each exterior angle measuring 45 degrees.

Example 1:

Find the area of the octagon if the length of the side of the octagon is 14 in.

Example 2:

Find the area of a regular octagon if its side measures 5 units.

Example 2:

Hope this helps. All the best.