1 / 9

Chapter 11.6 Notes: Areas of Regular Polygons

Chapter 11.6 Notes: Areas of Regular Polygons. Goal: You will find areas of regular polygons inscribed in circles. The center of the polygon and the radius of the polygon are the center and the radius of its circumscribed circle.

flynn-silva
Download Presentation

Chapter 11.6 Notes: Areas of Regular Polygons

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 11.6 Notes: Areas of Regular Polygons Goal: You will find areas of regular polygons inscribed in circles.

  2. The center of the polygon and the radius of the polygon are the center and the radius of its circumscribed circle. • The distance from the center to any side of the polygon is called the apothem of the polygon. • A central angle of a regular polygon is an angle formed by two radii drawn to consecutive vertices of the polygon.

  3. Ex.1: In the diagram, ABCDE is a regular pentagon inscribed in circle F. Find each angle measure. a. b. c.

  4. Theorem 11.11 Area of a Regular Polygon: The area of a regular n-gon with side lengths, s, is one half the product of the apothem, a, and the perimeter, P. a = apothem; P = Perimeter

  5. Ex.2: You are decorating the top of a table by covering it with small ceramic tiles. The table top is a regular octagon with 15 inch sides and a radius of about 19.6 inches. What is the area you are covering?

  6. Ex.3: A regular nonagon is inscribed in a circle with radius 4 units. Find the perimeter and area of the nonagon.

  7. Find the perimeter and area of the regular polygon. Ex.4: Ex.5:

  8. Find the perimeter and area of the regular polygon. Ex.6:

  9. Ex.7: A regular decagon is inscribed in a circle with radius 8 units. Find the perimeter and area of the decagon.

More Related