10/28/10 ©Evergreen Public Schools 2010 1 Area of Regular Polygons Vocabulary: apothem.

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Presentation transcript:

10/28/10 ©Evergreen Public Schools Area of Regular Polygons Vocabulary: apothem

©Evergreen Public Schools Learning Target I can find the area of regular polygons. What is a regular polygon?

©Evergreen Public Schools LaunchLaunch How do you find the area of a triangle? How do you find the measure of one interior angle of a regular hexagon?

©Evergreen Public Schools ExploreExplore

5 Equilateral Triangle Find the area of the equilateral triangle.

©Evergreen Public Schools Equilateral Triangle Explain the process you used to find the area.

©Evergreen Public Schools Regular Hexagon Find the area of the regular hexagon.

©Evergreen Public Schools Regular Hexagon Explain the process you used to find the area.

©Evergreen Public Schools It’s the Write Time What does the process of the find the areas of the triangle and hexagon have in common?

©Evergreen Public Schools Regular Octagon Find the area of the regular hexagon.

©Evergreen Public Schools Regular Octagon Explain the process you used to find the area.

©Evergreen Public Schools Regular Pentagon Find the area of the regular hexagon.

©Evergreen Public Schools Regular Pentagon Explain the process you used to find the area.

©Evergreen Public Schools It’s the Write Time What does the process of the find the areas of the hexagon, octagon and pentagon have in common?

©Evergreen Public Schools How does this formula match your process? Area of a Regular Polygon The area of a regular polygon is given by the formula below.regular polygonformula Area = (½)(apothem)(perimeter)apothemperimeter

©Evergreen Public Schools Team Practice Use the formula Area = (½)(apothem)(perimeter)apothemperimeter Find the area of a regular decagon with side length of 8 cm. Find the area of a regular hexagon with side length of 8 cm.

©Evergreen Public Schools Debrief How is the apothem different from segment b? b

©Evergreen Public Schools Learning Target Did you hit the target? I can find the area of regular polygons. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

©Evergreen Public Schools Practice Area of Regular Polygons