Unit 10 Lesson 3 Area of Regular Polygons
Unit 10 Lesson 3: Area of Regular Polygons
Lesson Overview
Area of Polygons
What You Will Learn
- finding the area of a regular polygon.
Overview
In this lesson, you will learn to find the area of a regular polygon.
Essential Understanding
The area of a regular polygon is related to the distance from the center to the side. You can circumscribe a circle about any regular polygon. The center of a regular polygon is the center of the circumscribed circle. The radius of a regular polygon is the distance from the center to a vertex. The apothem is the perpendicular distance from the center to a side.
- Read pages 422-427 in your course textbook
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Lesson 3: Area of Regular Polygons
Resource Video (Area of a Regular Polygon)
Proceed to the Next Page
Prepare for Application
Instructions
You have now studied the Area of Regular Polygons. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Create a journal entry called 'Unit 10: Lesson 3 activities' and do these activities in your journal.
In the figure below, a portion of a regular octagon has radii and an apothem drawn. What is the measure of each numbered angle?
- What is the area of a regular pentagon with an 8-cm apothem and 11.6-cm sides?
- If the side of a regular polygon is reduced to half its length, how does the perimeter of the polygon change? Explain.
The side of a regular hexagon is 16 ft. What is the area of the hexagon? Round your answer to the nearest square foot.