# Exploring Regular Polygons: Finding Area and Perimeter

Exploring Regular Polygons: Finding Area and Perimeter
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Slide 1: Slide

This lesson contains 18 slides, with interactive quizzes and text slides.

Lesson duration is: 45 min

## Items in this lesson

Exploring Regular Polygons: Finding Area and Perimeter

#### Slide 1 -Slide

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Learning Objective
At the end of the lesson you will be able to explain how to find the area and perimeter of regular polygons.

#### Slide 2 -Slide

This slide sets the learning objective of the lesson which is to help students understand how to find the area and perimeter of regular polygons.

#### Slide 3 -Mind map

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What are Regular Polygons?
Regular polygons are polygons that have equal side lengths and equal angles. Some examples are squares, equilateral triangles, and hexagons.

#### Slide 4 -Slide

This slide introduces the concept of regular polygons and gives examples of some of the most common regular polygons.
Perimeter of Regular Polygons
To find the perimeter of a regular polygon, you need to multiply the length of one side by the number of sides. P = s * n

#### Slide 5 -Slide

This slide explains how to find the perimeter of a regular polygon using the formula P = s * n.
Area of Regular Polygons
The area of a regular polygon can be found by multiplying the apothem (the distance from the center to the midpoint of a side) by the perimeter and dividing by 2. A = (ap * P) / 2

#### Slide 6 -Slide

This slide explains how to find the area of a regular polygon using the formula A = (ap * P) / 2.
Examples of Finding Perimeter
Find the perimeter of a regular pentagon with side length of 6cm.

#### Slide 7 -Slide

This slide provides an example of finding the perimeter of a regular polygon using the formula P = s * n. The teacher can explain how to solve this problem.
Examples of Finding Area
Find the area of a regular hexagon with a side length of 8cm and apothem of 6.93cm.

#### Slide 8 -Slide

This slide provides an example of finding the area of a regular polygon using the formula A = (ap * P) / 2. The teacher can explain how to solve this problem.
Challenge Question: Finding Apothem
If the area of a regular octagon is 256cm² and the side length is 4cm, what is the apothem?

#### Slide 9 -Slide

This slide provides a challenge question for students to test their understanding of finding the apothem of a regular polygon. The teacher can guide the students in solving the problem.
Interactive Element: Perimeter and Area Calculator
Use this interactive tool to calculate the perimeter and area of different regular polygons.

#### Slide 10 -Slide

This slide provides an interactive element where students can practice finding the perimeter and area of different regular polygons.
easy qu
A
a
B
dfas
C
dsaf
D
asdf

#### Slide 11 -Quiz

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hard
A
B
b
C
asd
D
asdf

#### Slide 12 -Quiz

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Real-World Applications
Regular polygons are used in many real-world applications such as architecture, design, and engineering.

#### Slide 13 -Slide

This slide shows the real-world applications of regular polygons and how they are used in different fields.
Review: Perimeter and Area Formulas
Perimeter: P = s * n. Area: A = (ap * P) / 2.

#### Slide 14 -Slide

This slide reviews the formulas for finding the perimeter and area of regular polygons that were discussed in the lesson.
Review: Examples of Finding Perimeter
Find the perimeter of a regular hexagon with side length of 10cm.

#### Slide 15 -Slide

This slide reviews an example of finding the perimeter of a regular polygon using the formula P = s * n. The teacher can ask the students to solve the problem.
Review: Examples of Finding Area
Find the area of a regular octagon with a side length of 7cm and apothem of 8.66cm.

#### Slide 16 -Slide

This slide reviews an example of finding the area of a regular polygon using the formula A = (ap * P) / 2. The teacher can ask the students to solve the problem.
Conclusion
Regular polygons have equal side lengths and angles, and their perimeter and area can be found using specific formulas.

#### Slide 17 -Slide

This slide summarizes the key points of the lesson and concludes the presentation.
Assessment
Assess your understanding by answering the following question: What is the formula for finding the area of a regular polygon?

#### Slide 18 -Slide

This slide provides an assessment question to evaluate the students' understanding of the lesson. The teacher can ask the students to answer the question and provide feedback.