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Areas of Regular Polygons and Composite Figures

Areas of Regular Polygons and Composite Figures. Notes 12 – Section 11.4. Essential Learnings. Students will understand and be able to find areas of regular polygons and composite figures. Vocabulary. Apothem – a segment drawn perpendicular to a side of a regular polygon.

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Areas of Regular Polygons and Composite Figures

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  1. Areas of Regular Polygons and Composite Figures Notes 12 – Section 11.4

  2. Essential Learnings • Students will understand and be able to find areas of regular polygons and composite figures.

  3. Vocabulary • Apothem – a segment drawn perpendicular to a side of a regular polygon. • The measure of each central angle of a regular n-gon is where n is the number of sides.

  4. Parts of Regular Polygons Center Central angle Apothem

  5. Example 1 In the figure, pentagon PQRST is inscribed in X. Identify the center, a radius, an apothem, and a central angle of the polygon. Then find the measure of a central angle.

  6. Area of a Regular Polygon The area A of a regular n-gon with side length s is one half the product of the apothem a and perimeter P. a = apothem s = side length n = number of sides

  7. Example 2 (11) Find the area of the regular pentagon. Round to the nearest tenth.

  8. Example 3 (12) Find the area of the regular hexagon. Round to the nearest tenth.

  9. Areas of Composite Figures • A composite figure is a figure that can be separated into regions that are basic shapes. • To find the area of a composite figure, find the area of each region and add or subtract the areas depending on the shape.

  10. Example 4 (15) Find the area of the figure. Round to the nearest tenth if necessary.

  11. Example 5 (20) Find the area of the figure. Round to the nearest tenth if necessary.

  12. Assignment Pages 794: 10 – 20, 22 Math’s Mate 3-1: Due Monday Unit Study Guide 6 Quiz – Wednesday Math’s Mate Quiz - Friday

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