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Published byBuck Short Modified over 9 years ago
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How much fencing do we need for our pasture? How much border do we need for our nursery? Bessie got away again!
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Some shapes have specific formulas, but to find perimeter, just add up all the sides! Square Perimeter = 4s (s = side length) Rectangle Perimeter = 2l + 2w (l = length and w = width) Triangle Perimeter = s1 + s2 + s3 (the sides)
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Ex 1: Find the perimeter of.. a. A square whose sides have length 8 cm. 8 cm P = 4s P = 4(8) P = 32 cm
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b. A rectangle whose length is 5 m and width is 11 m. 5 m 11 m P = 2l + 2w P = 2(5) + 2(11) P = 10 + 22 P = 32 m 11 m 5 m
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c. A triangle whose side lengths are 3 in, 4 in, and 5 in. P = s1 + s2 + s3 P = 3 + 4 + 5 P = 12 in 3 in 4 in 5 in
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Ex 2: Find the indicated side length. a. A square with perimeter 20 in. 5 in P = 4s 20 = 4s 5 in = s
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b. A rectangle with perimeter 30 ft and length 4 ft. 4 ft 11 ft P = 2l + 2w 30 = 2(4) + 2w 30 = 8 + 2w 22 = 2w 11 = w 11 ft 4 ft
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c. A triangle with perimeter 23 mm and remaining side lengths 8 mm and 9 mm. P = s1 + s2 + s3 23 = 8 + 9 + s3 23 = 17 + s3 6 mm = s3 6 mm 9 mm 8 mm
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Ex 3: Find the perimeter. 86 4 5 2 Fill in the other lengths.. 5 + 2 = 7 8 + 4 = 12 4 4 6 Perimeter = 8 + 6 + 4 + 7 + 12 + 2 + 4 + 5 + 4 + 6 Perimeter = 58 units
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How would you add up all the sides of a circle? A circle has no sides. Circumference, C, is similar to Perimeter but is used with circles and is defined differently.
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A diameter is equivalent to 2 radii. Depending upon which piece is given, use one of the following. diameter
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Ex 4: Find the circumference of a circle with radius. Unless you are told to use 3.14, leave your answer in terms of pi.
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Ex 5: A bicycle wheel has a diameter of 60 cm. How far will it travel if it makes 50 revolutions? Use π = 3.14. ● The wheel spins… ●●● 50 times Find circumference to determine how far the wheel moves with each spin. Multiply by 50 since it spins 50 times. C = πd = (3.14)(60) = 188.4 Distance = 188.4 (50) = 9420 cm
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