What is an Octagon?
Octagon is a polygon which has 8 sides is known as an octagon.
- It is a two-dimensional closed shape.
- Octagons must have straight sides that connect; they cannot be curved or disconnected.
- The word “octagon” is made up of octa + gonia which are Greek words.
- Octa means eight and gonia is referred to angle.
An Octagon has
- 8 sides
- 8 internal angles.
- 8 vertices
Properties of an Octagon
There are following important properties of an octagon:
- Sum of interior angles of octagon is (8 – 2) 180°, i.e. 6 x 180° which is equal to 1080°.
- Sum of exterior angles of an octagon is 360°.
Octagon Types
1) Regular Octagon
An octagon which has eight equal sides as well as eight equal interior angles, is called a regular octagon.2) Irregular octagons and concave octagon
- Irregular octagons have sides that are not congruent, which means that they aren’t all the same measurement.
- They can also have points that are facing inward and outward.
- An octagon that has points that are facing inward is a concave octagon.
Properties of a Regular Octagon
- It has eight equal sides.
- It has all internal angles equal in measure.
- Each interior angle measures 1080° / 8 or 135°.
- Each exterior angles measures 360°/ 8 or 45°.