Octagon

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°.