Module 3 Unit 2 Notes by kccervenka

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7
Perimeter and Circumference Notes

Perimeter- distance ________________________a figure

Example 1: Finding the perimeter of a polygon.          Example 2: Find the Perimeter.
Find the perimeter.

Example 3: Find the Perimeter.

Circumference- distance around a __________________________________

Pi (π)- ratio of circumference to diameter, equals __________________________

Radius- _______________ way through the circle
LABEL=
Diameter- line straight through the ______________________ of circle.

Example 4: Find the circumference of each circle to the nearest tenth, if necessary. Use 3.14 for π.

Example 5:
Jill plans to build a fence around her circular garden. About how many feet of fencing would be
required if the garden has a diameter of 28 ft?
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Area of Rectangles and Parallelograms Notes

Area- number of _____________ units to cover a figure

**REMEMBER—It doesn’t matter which side you use for
length and width**

LABEL=

Example 2:
Example 1:
Find the area of the rectangle.
Find the area of the rectangle.

Example 3:
The area of a playing field is 1,470 ft2 and the length is 42 ft. What is the width of the field?

Base- the two ______________________sides of the parallelogram

Height- length between both bases, _____________________________to
the base              Altitude is another name for the height

**NOTE—this formula is the EXACT same as a rectangle**

*Base is the same as length*

*height is the same as width*

Example 4: Find the area of the parallelogram.

Example 5:
Birgit and Mark are building a rectangular patio measuring 27 ft by 21 ft. How many square feet of
tile will they need?
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Area of Triangles and Trapezoids Notes
Triangles:
Base- any _____________ of the triangle

Height- _____________________distance between the highest point in triangle and the______

Altitude- ____________________ of the triangle

Example 1:
Find the area of each triangle.

LABEL=

Example 2:                                    Example 3:
What is the base of a triangle with area of
66 m2 and height of 11 m?

Trapezoids:
Bases- two ______________________ sides

Height- ______________________ distance between bases

Example 4:
Example 5:
Find the area of each trapezoid.

Example 6:                               Example 7:
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November 30, 2012

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Area of Circles Notes
Area of Circles:
LABEL=
Pi= ___________________

Radius- _______________ way through the circle

Diameter- line straight through the ______________________
of circle.

Find the area of each circle.
Example 1:

Example 2:                                          Example 3:

Example 4:                                         Example 5:
Find the area of a circle with a diameter
A= 40.82 m2                                       of 7 cm.
r = ??

Example 6:
A group of historians are building a yurt to display at a local multicultural fair. The yurt has a
height of 8 feet 9 inches at its center, and it has a circular floor of radius 7 feet. What is the
area of the floor of the yurt?
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Area of Trapezoids and Irregular Figures

Review: Finding area of trapezoids.

Steps to find the area of complex figures:
1. Divide shape into simple figures
2. Find area of each figure
3. Add area of each figure together

Examples:

7m
20 yd
4m
36 yd
11 m
37 yd

13 m
80 yd
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Review of Area of Complex Figures

Examples:
November 30, 2012

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Identifying 3-Dimensional Figures
3-Dimensional Figures:

3-Dimensional figure- a ________________that does not lie in a plane

Have THREE dimensions: LENGTH, WIDTH, and HEIGHT

Face- a ________________surface

Edge- where 2 ____________________________meet

Vertex- a __________________where 3 or more edges meet

Base- the face used to name the solid, usually the “__________________________________”

Prism- has ______________bases

Pyramid- has ______________________base

Example 1: Identify the bases and faces of each figure. Then name it.
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Volume of Prisms and Cylinders

Volume of Prisms and Cylinders:

Volume- number of cubic units to _________________
inside a 3-D figure

Cubic unit- a cube with edges ____________unit long

Example 1: Find the volume of a rectangular prism.

Example 2:

Example 3:

Example 4:

Example 5:
Example 6:
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Volume of Pyramids and Cones

Example 1: Find the volume of each rectangular pyramid.

Example 2: Find the volume of each triangular pyramid.

Example 3: Find the volume of each cone.
November 30, 2012

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Surface Area of Prisms and Cylinders
Surface Area of Prisms and Cylinders:

Surface Area- sum of the areas of the _____________

**REMEMBER: it doesn’t matter which numbers you
choose for the width, length, or height**

LABEL=

Example 1: Find the surface area of a rectangular prism.

Example 2: Find the surface area of a cylinder.
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Study for your test :)
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Show all of your work

GOOD LUCK!!!!
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