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Areas of Regular Polygons Lesson 11.4 Geometry Honors

Areas of Regular Polygons Lesson 11.4 Geometry Honors. Objective: Know and use the formula for the areas of Regular Polygons. Lesson Focus. The focus of this lesson is on applying the formula for finding the area of a regular polygon. Areas of Regular Polygons. Theorem

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Areas of Regular Polygons Lesson 11.4 Geometry Honors

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  1. Areas of Regular PolygonsLesson 11.4Geometry Honors Objective: Know and use the formula for the areas of Regular Polygons.

  2. Lesson Focus The focus of this lesson is on applying the formula for finding the area of a regular polygon.

  3. Areas of Regular Polygons Theorem The area of a regular polygon is equal to half the product of the apothem and the perimeter. A = 1/2 (ap)

  4. Definitions center of a regular polygon the center of the circumscribed circle radius of a regular polygon the distance from the center to a vertex central angle of a regular polygon an angle formed by two radii drawn to consecutive vertices apothem of a regular polygon the perpendicular distance from the center of a regular polygon to a side

  5. Areas of Regular Polygons Example 1: Find the measure of the central angle of an inscribed square. Example 2: Find the measure of the central angle of an inscribed regular hexagon. Example 3: Find the measure of the central angle of an inscribed regular octagon.

  6. Areas of Regular Polygons Example 4: Find the perimeter and the area of a regular hexagon with apothem 6. Example 5: Find the perimeter and the area of a regular octagon with side 5 and apothem 3. Example 6: Find the area of a regular pentagon inscribed in a circle of radius 8.

  7. Written Exercises Problem Set 11.4, p.443: # 2 - 16 (even); Handout 11-4

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