PENTAGON
Definition Of Pentagon
Pentagon is a polygon with five sides.
Examples of Pentagon
The figure below shows an pentagon. All its sides do not measure the same.
The figure below shows a regular pentagon. All its sides measure the same.
Video Examples: How to Get the Lateral Area of a Pentagonal Pyramid : Math Lessons
Solved Example on Pentagon
Ques: What is the measure of each angle of a regular pentagon?
Choices:
A. 106°
B. 110°
C. 108°
D. 100°
Correct Answer: C
Solution:
Step 1: The measure of each angle of a regular polygon = 
, where n is the number of sides of the polygon.
Step 2: The measure of each angle of a regular pentagon = 
= 108°. [Substitute n = 5.]
Step 3: The measure of each angle of a regular pentagon is 108°.
Quick Summary
- A pentagon has five sides.
- Pentagons can be regular or irregular.
- Regular pentagons have equal sides and equal angles.
🍎 Teacher Insights
Use real-world examples like the Pentagon building to illustrate the concept. Hands-on activities like building pentagons with straws can be helpful.🎓 Prerequisites
- Polygons
- Shapes
- Angles
Check Your Knowledge
Q1: How many sides does a pentagon have?
Q2: Which of the following is NOT a pentagon?
Frequently Asked Questions
Q: What is a regular pentagon?
A: A regular pentagon is a pentagon with all sides and all angles equal.
Q: Can a pentagon have sides of different lengths?
A: Yes, a pentagon can have sides of different lengths; it is then called an irregular pentagon.