Area and Perimeter 1.6
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Transcript of Area and Perimeter 1.6
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Area and Perimeter 1.6
What does the area of a figure measure?
What does the perimeter of a figure measure?
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• Identify and name polygons.
• Find perimeter, circumference, and area of two-dimensional figures.
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DefinitionHe put a fence on the perimeter of the
property.
Perimeter of a polygon—the sum of the lengths of the sides of the polygon (add the length of the sides).
Circumference of a circle is the distance around the circle.
Perimeter and circumference are the distance around the figure. It is measured in linear units (like inches or centimeters.)
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DefinitionHe measured the room and then figured the
area of the floor for the new carpet.
Area: the number of square units needed to cover the surface (in a plane region).
1 2 3 4
5 6 7 8
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For every polygonal region, there is a unique positive number called the area of the region.
If two polygonal regions are congruent, then they have equal areas.
Area Postulates
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Theorems
The circumference of a circle is the product of π and its diameter d.
C = πdThe circumference of a circle is twice the product of π and its radius r
C = 2πr
The area of a circle is the product of π and the square of its radius r.
A = π·r2
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Find the Perimeter and Area
20
P = 80
A = 400
21
56
P = 154
A = 1176
3 in
6.2 cm
C ≈ 18.85A ≈ 28.3
C ≈ 18.85A ≈ 28.3
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Find the perimeter and area of a pentagon ABCDE with A(0, 4), B(4, 0), C(3, –4), D(–3, –4), and E(–3, 1).
Perimeter and Area on the Coordinate Plane
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Step 1
By counting squares on the grid, we find that CD = 6 units and DE = 5 units. Use the Distance Formula,
to find AB, BC, and EA.
The perimeter of pentagon ABCDE is 5.7 + 4.1 + 6 + 5 + 4.2 or about 25 units.
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Step 2
Divide the pentagon into two triangles and a rectangle.
Find the area of the triangles.
Area of Triangle 1
Area of a triangle
Substitute.
Simplify.
Substitute.
Simplify.
Area of Triangle 2
Find the area of the rectangle.
Area of a rectangleSubstitute.Simplify.
The area of pentagon ABCDE is 9 + 2.5 + 30 or 41.5 square units.
Answer: The perimeter is about 25 units and the area is 41.5 sq. units.
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• What does the area of a figure measure?
The number of square units contained in a plane region.
• What does the perimeter of a figure measure?
The distance around the figure.
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Assignment 1-6 day 2p. 62, 17-22, 34-36
You must show your equation with the numbers in it along with the answer to get credit for the problem.
Example: P = 2(3.2) + 2(2.1) = 10.6
A = (3.2)(2.1) = 6.72
NO WORK NO CREDIT