Area of Regular Polygons

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# Area of Regular Polygons - PowerPoint PPT Presentation

## Area of Regular Polygons

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##### Presentation Transcript

1. Area of Regular Polygons

2. We will determinethe area of regular polygons using notes.

4. Copy onto your notes: Regular Polygon • equal sides • equal angles P = perimeter a = apothem * Use this formula for regular pentagons, hexagons, octagons, etc.

5. Copy onto your notes: apothem Apothem - connects center to midpoint and forms a right angle

6. Copy onto your notes: Examples Non-Examples

8. You try this one now… 14 cm 2.5 cm Example 2 : Find the area of the regular octagon.

9. Click through the animation and copy down the important information. First, divide the hexagon into 6 six congruent figures. What figures did you create? Equilateral Triangles Now, divide the hexagon into 12 congruent figures. What figures did you create? 30 – 60 – 90 Triangles Label the sides of one of the 30 – 60 – 90 Triangle. What did you label the apothem? x√3 What represents the side length? 2x