Exploring Regular Polygons: Finding Area and Perimeter

• Geo
• 10th Grade

Exploring Regular Polygons: Finding Area and Perimeter

Learning Objective

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

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.

What do you already know about regular polygons?

What are Regular Polygons?

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

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

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

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.

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.

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?

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.

This slide provides an interactive element where students can practice finding the perimeter and area of different regular polygons.

easy qu

1. a
2. dfas
3. dsaf
4. asdf

hard

1. ads
2. b
3. asd
4. asdf

Real-World Applications

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

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.

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.

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.

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.

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?

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.