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Regular Polygons. 9.3.1.2 Compose and decompose two- and three-dimensional figures; use decomposition to determine the perimeter, area, surface area and volume of various figures. . Guiding Question: How do we find the perimeter and area of regular polygons?.

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regular polygons

Regular Polygons

9.3.1.2 Compose and decompose two- and three-dimensional figures; use decomposition to determine the perimeter, area, surface area and volume of various figures.

guiding question how do we find the perimeter and area of regular polygons
Guiding Question: How do we find the perimeter and area of regular polygons?
  • Lesson Obj: IWBAT to find the perimeter and area of regular polygons.

Examples of polygons: Pentagon, Hexagon, Octagon, Decagon, etc.

Regular: All sides are congruent and all angles are congruent.

guiding question how do we find the perimeter and area of regular polygons1
Guiding Question: How do we find the perimeter and area of regular polygons?

For any polygon

Find the sums

Sum of all angles in a polygon is equal to the number of sides minus 2 times 180.

Sum =

What is the sum of the angles in a

Pentagon?

Hexagon?

Octagon?

guiding question how do we find the perimeter and area of regular polygons2
Guiding Question: How do we find the perimeter and area of regular polygons?

To find the area of a regular polygon.

The apothem is similar to a height.

guiding question how do we find the perimeter and area of regular polygons4
Guiding Question: How do we find the perimeter and area of regular polygons?
  • How can we find the perimeter and area of this hexagon?
  • Is 8 the apothem?
guiding question how do we find the perimeter and area of regular polygons5
Guiding Question: How do we find the perimeter and area of regular polygons?

How can we find the perimeter and are of this pentagon?

A STOP sign is 30 inches from top to bottom, can we figure out the area and perimeter?

guiding question how do we find the perimeter and area of regular polygons6
Guiding Question: How do we find the perimeter and area of regular polygons?
  • Assignment: Polygon WS
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