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Find the Area

Find the Area. 10-5: Area of Regular Polygons. GSE’s. Primary :. p. 543-550. M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two-dimensional figures (including composite figures) or

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Find the Area

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  1. Find the Area

  2. 10-5: Area of Regular Polygons GSE’s Primary: p. 543-550 M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two-dimensional figures (including composite figures) or surface area or volume of three-dimensional figures (including composite figures) within mathematics or across disciplines or contexts. Secondary: M(G&M)–10–9 Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope.

  3. **All regular polygons can be inscribed within a circle Area of any Regular Polygon = perimeter of the polygon a = apothem a = apothem (the segment from the center of the polygon to the side (where it is perpendicular) a

  4. Find the area of the regular polygon described. A triangle with a side length of 14 inches

  5. A regular hexagon with a perimeter of 36 meters

  6. Ex: Find the area of the shaded region. r2 4 cm (4)2 16 16 - 12ð3 4 cm 2 30o = 29.5 cm2 2ð3 4ð3 http://guilford.rps205.com/departments/Math/Links/Honors%20Geometry/Honors%20Geometry%20Power%20Points/11.2%20%20Area%20of%20reg%20polygons.ppt#7

  7. Ex: A regular octagon has a radius of 4 in. Find its area. First, we have to find the apothem length. 4sin67.5 = a 3.7 = a Now, the side length. Side length=2(1.53)=3.06 67.5o x 4 a 3.7 4cos67.5 = x 135o 1.53 = x A = ½ Pa = ½ (24.48)(3.7) = 45.288 in2 http://guilford.rps205.com/departments/Math/Links/Honors%20Geometry/Honors%20Geometry%20Power%20Points/11.2%20%20Area%20of%20reg%20polygons.ppt#7

  8. Homework

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