1 / 5

Areas of Regular Polygons

Areas of Regular Polygons. Area of a Regular Polygon. If a regular polygon has an area of A square units, a perimeter of P units, and an apothem of a units, A = ½ Pa. Radii – segments drawn from the center of the polygon to a vertex. Apothem – a segment drawn from the center point

sharron
Download Presentation

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. Areas of Regular Polygons

  2. Area of a Regular Polygon • If a regular polygon has an area of A square units, a perimeter of P units, and an apothem of a units, • A = ½ Pa. Radii – segments drawn from the center of the polygon to a vertex Apothem – a segment drawn from the center point of a polygon perpendicular to the side of a polygon

  3. Facts about the apothem • It is always perpendicular to a side, forming a right triangle. • It intersects the side of the polygon at the midpoint of the side.

  4. Area of a Regular Polygon The perimeter of this regular polygon is 60. The apothem is 8. If the perimeter of a regular pentagon is 60, then each side is 12. 8 Now find the area A = ½ Pa A = ½ (60)(8) A = 240 units 2

  5. Work this problem Find the area of the regular polygon. 10 One side is 10 units, so the perimeter is 8 * 10 = 80 units 11 A = ½ Pa A = ½ (80) (11) A = 440 units 2

More Related