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
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.
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
Quick Summary
- All sides are congruent.
- All angles are congruent.
- Can be inscribed in a circle.
🍎 Teacher Insights
Use visual aids and hands-on activities to demonstrate the properties of regular polygons. Emphasize the importance of both equal sides and equal angles.🎓 Prerequisites
- Polygon
- Angles
- Sides
- Measurement
Check Your Knowledge
Q1: Which of the following is NOT a property of a regular polygon?
Q2: A polygon has 5 equal sides and 5 equal angles. What is it called?
Frequently Asked Questions
Q: What is the difference between a regular and irregular polygon?
A: A regular polygon has equal sides and angles, while an irregular polygon does not have both equal sides and equal angles.
Q: Is a square a regular polygon?
A: Yes, a square is a regular polygon because all its sides are equal, and all its angles are 90 degrees.