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Regular Polygon

Definition Of Regular Polygon

A polygon having all its sides equal and all the angles equal is called a Regular Polygon.

More about Regular Polygon

The measure of each angle of a regular polygon with n sides is given as  degrees
A circumscribed circle can be drawn through all the vertices of a regular polygon.

Example of Regular Polygon

Regular Polygon

All the above polygons are regular polygons.

Video Examples: Regular Polygon

Solved Example on Regular Polygon

Ques: Choose a regular heptagon from the figures given.

Solved Example on Regular Polygon

Choices:

A. Figure 1 
B. Figure 2 
C. Figure 3 
D. Figure 4 
Correct Answer: C

Solution:

Step 1: A polygon with seven sides is called a heptagon
Step 2: A polygon with all its sides measuring the same is called a regular polygon
Step 3: Here, Figure 3 has all its seven sides of the same measure. So, it is a regular heptagon