Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface...

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Area of Regular Polygons and Irregular Shapes Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and approximate forms

Transcript of Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface...

Page 1: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Area of Regular Polygons and Irregular

ShapesLesson 7.3B

M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving

polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and approximate

forms

 

Page 2: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Vocabulary

Apothem: A line segment from the center of a polygon that is

perpendicular to one of its sides

Perimeter:

The distance around a polygon

Radius of a polygon:

A line segment drawn from the center of a polygon to the vertex

Page 3: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Area of a Regular Polygon

Formula for finding the area of a regular polygon:

A = ½ ap

Formula for finding the area of a regular triangle: A =

Page 4: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Example

Find the area of the regular polygon. Leave your answer in simplest radical form.

6 inches

Page 5: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Now You Try…

Find the area of the regular polygon. Leave your answer in simplest radical form.

8 feet

Page 6: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Example

Find the area of the regular polygon. Leave your answer in simplest radical form.

10 meters

Page 7: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Now You Try…

Find the area of the regular polygon. Leave your answer in simplest radical form.

15 cm

Page 8: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Example

Find the area of the regular polygon. Leave your answer in simplest radical form.

18 in

Page 9: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Now You Try…

Find the area of the regular polygon. Leave your answer in simplest radical form.

4 in

Page 10: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Example

Find the area of the regular polygon. Round Your answer to Nearest 10th.

5 mm

Page 11: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Now You Try…

Find the area of the regular polygon. Round Your answer to Nearest 10th.

3 feet

Page 12: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Area of Irregular Shapes

Key to finding the area of irregular shapes:

Divide it into shapes you know!

Page 13: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Example

Find the area of the given shape.

20 cm

4 cm

6 cm

12 cm

Page 14: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Example

Find the area of the given shape.

9"

6"

8"

15"

Page 15: Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Now You Try…

Find the area of the given shape.

12'

12'

4'6'