Area of a Regular Polygon

Introduction

Webquest, WWW scavenger hunt

1. Today in class, and if you need extra time as homework, follow the www. prompts and research "areas of regular polygons. "

2. Fill in the questions to help understand how to find areas of different regular polygons.

3. Cmplete the worksheet and hand in all work next class period.

Big Ideas: Where do we see Regular Polygons?

https://www.google.com/search?q=what+is+a+regular+polygon&rlz=1C1CHBF_e…

Essential Questions: Why do we need to know how to calculate area of objects?

http://mathforum.org/library/drmath/view/55318.html

Objectives: By the end of this lesson student will understand where we see regular polygons, why we need to know how to calculate area of regular polygons, and how to use formulas to calculate area of regular polygons.

What is a Regular Polygon or n-gon?

https://www.youtube.com/watch?v=jS1W44Pl0ek

Regular Polygon

What is the difference between a regular and irregular polygon?

https://www.teachstarter.com/teaching-resource/regular-irregular-polygo…

Task

Finding the Area of a Regular Polygon made easy

Image result for regular polygon areaNo

Easier    

Process

Angles of a Regular Polygon

https://www.youtube.com/watch?v=MGy7QG1uxZs

http://www.mathwords.com/a/area_regular_polygon.htm

https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-ri…

http://www.mathopenref.com/apothem.html (use for visual display only)

http://study.com/academy/lesson/apothem-definition-formula.html

What is the central angle of a regular polygon?

What is the formula for the central angle of a regular polygon?

What is the interior angle of a regular polygon?

What is the formula for the interior angle of a regular polygon?

The Circle and the Regular Polygon

Draw a circle and label; C=center and R= radius


What is a regular polygon inscribed in a circle?
Draw a circle inscribe a regular polygon and label; C=center and R= radius


What is a regular polygon circumscribed on a circle?
Draw a circle circumscribe a regular polygon and label; C=center and r= radius

The Inscribed Regular Polygon

What is the apothem of a regular polygon?


Draw a 3 sided regular polygon inscribed in a circle.
Label; C =center , R = radius , a = apothem , s = side ,p = perimeter


Draw a 4 sided regular polygon inscribed in a circle.
Label; C =center , R = radius , a = apothem , s = side ,p = perimeter


Draw a 6 sided regular polygon inscribed in a circle.
Label; C =center , R = radius , a = apothem , s = side ,p = perimeter

Formulas for the Area of a Regular Polygon

A = n1/2as
What is A ~
What is n ~
What is a ~
What is s ~


p = ns
What is p ~
What is n ~
What is s ~


A = 1/2ap
What is A ~
What is p ~
What is s ~


What is the Pythagorean theorem?

What is a 30 60 90 triangle?
Label all angles and side dimensions.

Evaluation

Credits