1 / 13

Area of Regular Polygons Formula and Center Parts

Learn how to calculate the area of regular polygons using the formula and explore the different parts of a regular polygon. Understand the concept of center, radius, apothem, and central angle.

rlemmons
Download Presentation

Area of Regular Polygons Formula and Center Parts

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. Section 11-2 Areas of Regular Polygons

  2. Area of an Equilateral Triangle • The area of an equilateral triangle is one fourth the square of the length of the side times Formula: or

  3. Given any regular polygon, you can circumscribe a circle about it.

  4. Parts of a Regular Polygon:

  5. Center • is the center of the circumscribed circle Example:

  6. Radius • is the distance from the center to a vertex Example:

  7. apothem • is the (perpendicular) distance from the center of the polygon to a side. Example:

  8. Central angle • is an angle formed by two radii drawn to consecutive vertices. Example:

  9. = Central Angle To find the Measure of a Central Angle of a Regular Polygon: **n = the number of sides

  10. 1

  11. To find the area of any regular n-gon: • Divide the polygon into congruent triangles • Find the area of one of those triangles • Multiply that triangle’s area by the number of triangles that are in the polygon

  12. Area of a regular polygon • The area of a regular polygon is equal to half the product of the perimeter and the apothem. Formula:

More Related