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11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

1. What is the area of the unshaded region?

3. Find the area of the parallelogram.

"Do Now"

2. What is the area of the shaded region?

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

Go over Quizzie Poos

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

HW 11.3pg. 801 (#18­23, 27, 28, 32, 33)

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

What shape can you split the regular polygon (heptagon) into?

Regular Polygons

Unit 12: Area of Polygons and Circles11.4 Areas of Regular Polygons and Composite Figures

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

Finding Area of Regular Polygons

Regular polygons can be split into isosceles triangles(by drawing a line from each vertex to the center).

The apothem is the height of each isosceles triangle.It is perpendicular to the side of the polygon.

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

Finding Area of Regular Polygons ­ General Formulas

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

The top of an umbrella shown is a regular hexagon with a side length of 2 feet and an apothem of 1.5 feet.

What is the area of the entire umbrella to the nearest tenth?

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

CHALLENGE #1Find the area of the regular hexagon.

Round to the nearest tenth.

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

CHALLENGE #2Find the area of the regular pentagon.

Round to the nearest tenth.

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

Composite Figure Irregular figureCombination of figures

11.4 Area of Regular Polygons and Composite Figures.notebook April 02, 2014

INTERIOR DESIGN Ms. Stalvey wants to wallpaper one wall of her family room. She has a fireplace in the center of the wall. Find the area of the wall around the fireplace.

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