11 4 Areas Of Regular Polygons
Download as PPT, PDF5 likes4,970 views
The document discusses calculating the areas of regular polygons. It states that the area of a regular polygon is equal to half the product of the apothem and perimeter. The apothem is the distance from the center of the polygon to the midpoint of one side, and can be calculated using trigonometric functions like tangent and cosine based on the central angle of the polygon. Formulas are provided for calculating the areas of regular pentagons and general regular n-gons.
11 4 Areas Of Regular Polygons
- 1. 11-4 Areas of Regular Polygons
- 2. 11.4 Areas of Regular 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 Regular Polygons Area of a Regular Polygon
- 4. Areas of Regular Polygons Area of a Regular Polygon Area = (area of the ) x (# of ’s)
- 5. Areas of Regular Polygons 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 Regular Polygons 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 Regular Polygons Area of a Regular Pentagon Area = (½ apothem x side length) x (number of sides) Area = ½ apothem x Perimeter
- 8. Areas of Regular Polygons Theorem 11.6 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 Regular Polygons Area of a Regular Polygon How to figure out the apothem
- 10. Areas of Regular Polygons Area of a Regular Polygon How to figure out the apothem C B A
- 11. Areas of Regular Polygons Area of a Regular Polygon How to figure out the apothem P-Thag Theorem C B Apothem
- 12. Areas of Regular Polygons Area of a Regular Polygon How to figure out the apothem tan x = __ B__ apothem C B x ° Apothem
- 13. Areas of Regular Polygons 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 Regular Polygons Area of a Regular Polygon How to figure out the apothem cos x = apothem C Apothem = cos x C C B x ° Apothem
- 15. SPICSA P 443 1-12all, 14,16