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10 5 areas of a regular polygon
- 1. 10-5 Areas ofRegular Polygons
- 2. 10-5 Areas ofRegular Polygons •Area of a Regular Polygon Vocab: Center – in the center Radius - to a vertex Central angle –from 2 radii Apothem –perpendicular from center to side
- 3. Areas of RegularPolygons •Area of a Regular Polygon
- 4. Areas of RegularPolygons •Area of a Regular Polygon •Area = (area of the ∆) x (# of ∆’s)
- 5. Areas of RegularPolygons •Area of a Regular Pentagon •Area = (area of the ∆) x (# of ∆’s) •Area = ( ½ apothem x side length) x (number of sides)
- 6. Areas of RegularPolygons •Area of a Regular Pentagon •Area = (area of the ∆) x (# of ∆’s) •Area = ( ½ apothem x side length) x (number of sides)
- 7. Areas of RegularPolygons •Area of a Regular Pentagon •Area = (½ apothem x side length) x (number of sides) •Area = ½ apothem x Perimeter
- 8. Areas of RegularPolygons •Theorem 10-5 •The area of a regular n-gon with side length s is half the product of the apothem a and the perimeter P •A = ½ aP •OR •A = ½ a x ns
- 9. Areas of RegularPolygons •Area of a Regular Polygon •How to figure out the apothem
- 10. Areas of RegularPolygons •Area of a Regular Polygon •How to figure out the apothem C B A
- 11. Areas of RegularPolygons •Area of a Regular Polygon •How to figure out the apothem •P-Thag Theorem C B Apothem
- 12. Areas of RegularPolygons •Area of a Regular Polygon •How to figure out the apothem tan x = __B__ apothem C B x° Apothem
- 13. Areas of RegularPolygons •Area of a Regular Polygon •How to figure out the apothem tan x = __B__ apothem Apothem =_ B__ tan x C B x° Apothem
- 14. Areas of RegularPolygons •Area of a Regular Polygon •How to figure out the apothem cos x = apothem C Apothem = cos x C C B x° Apothem
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