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Area of regular polygons

Area of regular polygons. Section 10.3. Warm Up Find the unknown side lengths in each special right triangle. 1. a 30°-60°-90° triangle with hypotenuse 2 ft. 2. a 45°-45°-90° triangle with leg length 4 in. 3. a 30°-60°-90° triangle with longer leg length 3m.

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Area of regular polygons

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  1. Area of regular polygons Section 10.3

  2. Warm Up Find the unknown side lengths in each special right triangle. 1. a 30°-60°-90° triangle with hypotenuse 2 ft 2. a 45°-45°-90° triangle with leg length 4 in. 3. a 30°-60°-90° triangle with longer leg length 3m

  3. A regularpolygon means that the polygon is convex and all sides AND angles are congruent. Area of any regular polygon is: A = A = Area P = Perimeter a = apothem

  4. In an equilateral triangle, the apothem is NOT half of the altitude. You can use either A = ½ P a or A = ½ b h

  5. Find the area of each regular polygon.

  6. Find the area of a regular octagon with perimeter of 72 in.

  7. Find the area of the regular pentagon with perimeter of 25 in.

  8. Find the area of a regular octagon with perimeter of 96 in.

  9. Find the area of the shaded region. Pentagon and triangle are regular.

  10. Find the area of the shaded region. A regular hexagon located in a square.

  11. The area of a regular octagon is 392.4 m2 an has an apothem length of 10.9m long. Find the length of each side. Find the perimeter of the octagon.

  12. Find the area of a square with apothem length of 5 cm.

  13. Find the area of the shaded region.

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