Perimeter, Area, & Circumference
Free powerpoint template: 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!
Free powerpoint template: 3 Perimeter Any shape’s “perimeter” is the outside of the shape…like a fence around a yard.
Free powerpoint template: 4 Perimeter To calculate the perimeter of any shape, just add up each line segment of the “fence.”
Free powerpoint template: 5 Perimeter Triangles have 3 sides…Add up each side’s length =24 The Perimeter is 24
Free powerpoint template: 6 Perimeter A square has 4 sides of a fence =48
Free powerpoint template: 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.
Free powerpoint template: 8 Example If the bottom is 15, then the top is… 15
Free powerpoint template: 9 Perimeter of Rectangle & Square Perimeter = 2(Length + Width) P = 2(25+14) P = 2(20+20) P = P = P = 78 P =
Free powerpoint template: 10 Other Shapes Just add up EACH segment sides: Each side 10 so =80
Free powerpoint template: 11 Odd Shapes Count all sides. Remember, if one side is blank, it’s equal to its opposite =50 (for Length) =40 (for Width) Perimeter=90
Free powerpoint template: 12 Area Area is the ENTIRE INSIDE of a shape. It is always measured in “squares” (sq. inch, sq. feet)
Free powerpoint template: 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
Free powerpoint template: 14 Area of Squares/Rectangles Area = Length x Width 2 Length(2) xWidth(2) = 4 square units
Free powerpoint template: 15 Parallelogram Area Same idea as squares & rectangles, but they change the words to Base (length: bottom of shape) and Height (width)
Free powerpoint template: 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!!!
Free powerpoint template: 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
Free powerpoint template: 18 Different Names/Same Idea Length x Width = Area Side x Side = Area Base x Height = Area
Free powerpoint template: 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
Free powerpoint template: 20 Area of a Circle Pi = 3.14 Radius: from center (origin) of circle to ANY side. Area = pi x (Radius x Radius)
Free powerpoint template: 21 Circumference of a Circle Perimeter/Circumference = pi x diameter Pi is always 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
Free powerpoint template: 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)
Free powerpoint template: 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)