Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface...
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Transcript of Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface...
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
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
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 =
Example
Find the area of the regular polygon. Leave your answer in simplest radical form.
6 inches
Now You Try…
Find the area of the regular polygon. Leave your answer in simplest radical form.
8 feet
Example
Find the area of the regular polygon. Leave your answer in simplest radical form.
10 meters
Now You Try…
Find the area of the regular polygon. Leave your answer in simplest radical form.
15 cm
Example
Find the area of the regular polygon. Leave your answer in simplest radical form.
18 in
Now You Try…
Find the area of the regular polygon. Leave your answer in simplest radical form.
4 in
Example
Find the area of the regular polygon. Round Your answer to Nearest 10th.
5 mm
Now You Try…
Find the area of the regular polygon. Round Your answer to Nearest 10th.
3 feet
Area of Irregular Shapes
Key to finding the area of irregular shapes:
Divide it into shapes you know!
Example
Find the area of the given shape.
20 cm
4 cm
6 cm
12 cm
Example
Find the area of the given shape.
9"
6"
8"
15"
Now You Try…
Find the area of the given shape.
12'
12'
4'6'