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Perimeter, Area, & Circumference
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Free powerpoint template: www.brainybetty.com 2 Don’t Get Scared!!! Mathematicians have created formulas to save you time; but, they always change the letters of the formulas to scare you!
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Free powerpoint template: www.brainybetty.com 3 Perimeter Any shape’s “perimeter” is the outside of the shape…like a fence around a yard.
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Free powerpoint template: www.brainybetty.com 4 Perimeter To calculate the perimeter of any shape, just add up each line segment of the “fence.”
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Free powerpoint template: www.brainybetty.com 5 Perimeter Triangles have 3 sides…Add up each side’s length. 8 8 8 8+8+8=24 The Perimeter is 24
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Free powerpoint template: www.brainybetty.com 6 Perimeter A square has 4 sides of a fence 12 12+12+12+12=48
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Free powerpoint template: www.brainybetty.com 7 Remember... All sides of a square are equal…so if they give you one side, you know ALL the sides. Length = the Largest side If numbers are left out, the missing sides are equal to their opposite sides.
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Free powerpoint template: www.brainybetty.com 8 Example If the bottom is 15, then the top is… 15
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Free powerpoint template: www.brainybetty.com 9 Perimeter of Rectangle & Square Perimeter = 2(Length + Width) P = 2(25+14) P = 2(20+20) P = 50+28 P = 40+40 P = 78 P = 80 14 25 20
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Free powerpoint template: www.brainybetty.com 10 Other Shapes Just add up EACH segment. 10 8 sides: Each side 10 so 10+10+10+10+10+10+10+10=80
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Free powerpoint template: www.brainybetty.com 11 Odd Shapes Count all sides. Remember, if one side is blank, it’s equal to its opposite. 25 15 5 25+25=50 (for Length) 15+5+15+5=40 (for Width) Perimeter=90
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Free powerpoint template: www.brainybetty.com 12 Area Area is the ENTIRE INSIDE of a shape. It is always measured in “squares” (sq. inch, sq. feet)
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Free powerpoint template: www.brainybetty.com 13 Area Square units means that “that” many squares fit inside that shape (if measured in feet…it’s feet…if meters…it’s meters. In this example, the area is 4 square units…note 4 squares fit) 1 2 units (ft, in, m) 2 3 4
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Free powerpoint template: www.brainybetty.com 14 Area of Squares/Rectangles Area = Length x Width 2 Length(2) xWidth(2) = 4 square units
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Free powerpoint template: www.brainybetty.com 15 Parallelogram Area Same idea as squares & rectangles, but they change the words to Base (length: bottom of shape) and Height (width)
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Free powerpoint template: www.brainybetty.com 16 Parallelogram Area Area = Base x Height (Area = length x width) BASE (length) Height (width) 8 5 Base 8 x Height 5 = Area 40 The diagonal line is NOT the height!!!
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Free powerpoint template: www.brainybetty.com 17 Real Formula for Area of Squares Area = S^2 Area = Side x Side (side squared) (just a different way of saying length x width) Side one Side two
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Free powerpoint template: www.brainybetty.com 18 Different Names/Same Idea Length x Width = Area Side x Side = Area Base x Height = Area
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Free powerpoint template: www.brainybetty.com 19 Area of a Triangle ½ Base x Height = Area (It’s ½ because ½ of the “square” is missing) Base Height Base 8 5 ½ Base x Height = Area ½ (8) x 5 = Area 4 x 5 = 20
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Free powerpoint template: www.brainybetty.com 20 Area of a Circle Pi = 3.14 Radius: from center (origin) of circle to ANY side. Area = pi x (Radius x Radius)
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Free powerpoint template: www.brainybetty.com 21 Circumference of a Circle Perimeter/Circumference = pi x diameter Pi is always 3.14. Circumference is a fancy name for perimeter. The diameter is a line from one side to the other side of a circle through its origin (It’s twice the radius) If the radius is 5, then the diameter is 10. Perimeter = 3.14 x 10
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Free powerpoint template: www.brainybetty.com 22 Area of a Circle Area = pi X R^2 Pi = 3.14 and R = Radius Radius 5 Area = 3.14 x (5 x 5)
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Free powerpoint template: www.brainybetty.com 23 Remember... The area of squares, rectangles, and parallelograms are almost the same: S x S (Area of Squares) L x W (Area of Rectangles) B x H (Area of Parallelograms)
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