Regular polygon definition and properties

Learn the definition of a regular polygon. As we know the definition of the polygon, now we will learn what is a regular polygon and its properties.

Regular polygon definition

It is a very easy topic in geometry. Everybody can understand without any confusion. Now I will give the definition and also I will list some of the regular polygons with their internal angles.

Definition of a regular polygon:

The given polygon in which if all the sides and also all the angles are equal then that polygon is called as a regular polygon.

Example:

Regular polygon definition

In the above diagram, we observe that all the three angles equal to { 60 }^{ 0 } and the three sides are equal to 5 cm. As all the angles and all the sides are equal so it is called as regular polygon.

The important Properties of a regular polygon:

→For a regular polygon, each exterior angle is equal to \frac { { 360 }^{ 0 } }{ n } , where “n “is the number of sides of a polygon.

→The each interior angle of a regular polygon is equal to \frac { \left( n-2 \right) \times { 180 }^{ 0 } }{ n } .

→The sum of all the interior angles of a polygon is given by (n-2) × { 180 }^{ 0 } .

→The sum of all the exterior angles of any given polygon is = { 360 }^{ 0 } .

Some regular polygons diagrams:

Regular polygon definition

In the above diagram, all the angles of a quadrilateral and also all the sides are equal. So by this, we can say that this is a regular polygon. In quadrilateral, only square is a regular polygon.

As all the angles are equal to { 108 }^{ 0 } and all the sides are equal to 5 cm so this is a regular pentagon.

Regular polygon definition

Here all angles are equal to { 120 }^{ 0 } and all the sides are equal to 6 cm so this is called regular Hexagon.

Regular polygon definition

All the angles equal to { 128.6 }^{ 0 } and all sides are equal to 8cm so this is called regular Heptagon.

Regular polygon definition

Here all angles are equal to { 135 }^{ 0 } and all sides are equal to 6 cm so this is called regular Octagon.

Regular polygon definition

All the angles are equal to { 140 }^{ 0 } and all sides are equal to 3 cm so this is called regular Nonagon.

Regular polygon definition

Here all the angles are equal to { 144 }^{ 0 } and all the sides are equal to 3 cm so it is called regular Decagon.

Regular polygon definition

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