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10 5 areas of a regular polygon
 

10 5 areas of a regular polygon

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    10 5 areas of a regular polygon 10 5 areas of a regular polygon Presentation Transcript

    • 10-5 Areas of Regular Polygons
    • 10-5 Areas of Regular Polygons•Area of a Regular PolygonVocab:Center – in the centerRadius - to a vertexCentral angle –from 2 radiiApothem –perpendicularfrom center to side
    • Areas of Regular Polygons•Area of a Regular Polygon
    • Areas of Regular Polygons•Area of a Regular Polygon•Area = (area of the ∆) x (# of ∆’s)
    • 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)
    • 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)
    • Areas of Regular Polygons•Area of a Regular Pentagon•Area = (½ apothem x side length) x (number of sides)•Area = ½ apothem x Perimeter
    • Areas of Regular Polygons•Theorem 10-5•The area of a regular n-gon with side length s ishalf the product of the apothem a and the perimeterP•A = ½ aP•OR•A = ½ a x ns
    • Areas of Regular Polygons•Area of a Regular Polygon•How to figure out the apothem
    • Areas of Regular Polygons•Area of a Regular Polygon•How to figure out the apothemCBA
    • Areas of Regular Polygons•Area of a Regular Polygon•How to figure out the apothem•P-Thag TheoremCBApothem
    • Areas of Regular Polygons•Area of a Regular Polygon•How to figure out the apothemtan x = __B__apothemCBx°Apothem
    • Areas of Regular Polygons•Area of a Regular Polygon•How to figure out the apothemtan x = __B__apothemApothem =_ B__tan xCBx°Apothem
    • Areas of Regular Polygons•Area of a Regular Polygon•How to figure out the apothemcos x = apothemCApothem = cos xCCBx°Apothem
    • SPICSAP 443 1-12all,14,16