1 / 6

11.5 Area of Regular Polygons

11.5 Area of Regular Polygons. Theorem 106. Theorem 106: The area of an equilateral triangle equals the product of one-fourth the square of a side and the square root of three. Formula: A eq = √ 3 , where “S” is the length of a side. 2. S. 4. Example 1.

lilac
Télécharger la présentation

11.5 Area 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. 11.5 Area of Regular Polygons

  2. Theorem 106 Theorem 106: The area of an equilateral triangle equals the product of one-fourth the square of a side and the square root of three. Formula: Aeq = √3 , where “S” is the length of a side. 2 S 4

  3. Example 1 Triangle ABC is an equilateral triangle with side lengths of 4. Solve for the area of the triangle. 4

  4. Apothem An apothem is the segment drawn from the center of a regular polygon to the midpoint of any side. Example: Apothem

  5. Theorem 107 Theorem 107: The area of a regular polygon equals the product of one-half of the apothem and the perimeter. Formula: A = ap, where a = the apothem 1 poly 2

  6. Example 2 Given a regular hexagon with side lengths of 18 and an apothem length of 9. Solve for the area of the hexagon. 9 18

More Related