1.8: Perimeter, Circumference, and Area

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Presentation transcript:

1.8: Perimeter, Circumference, and Area Part I

Today’s Objectives Solve for the perimeter or circumference of basic shapes Use the distance formula to solve for the perimeter of basic shapes

Perimeter of Polygons Perimeter – the sum of the lengths of a polygon’s sides a b c l w 𝑃=2𝑙+2𝑤 𝑃=𝑎+𝑏+𝑐

Finding the Perimeter of a Rectangle What is the perimeter of a 13 by 6 rectangle? l=13 w=6 𝑃=2(13)+2(6) 𝑃=26+12 𝑃=38

Circumference of a Circle Circumference – distance around a circle r d 𝐶 =2𝜋𝑟 𝑜𝑟 𝐶=𝜋𝑑

Finding the Circumference of a Circle What is the circumference of a circle with radius 5? 𝐶=2𝜋𝑟 r = 5 𝐶=2𝜋(5) 𝐶=10𝜋 𝐶=10(3.14) =31.4

Perimeter on a Coordinate Plane Find the perimeter of the triangle with vertices A(-3,4), B(1,-2), and C(5,5). 𝐴𝐵= 1−−3 2 + −2−4 2 = 4 2 + −6 2 A C B = 16+36 = 52 =7.21 𝐵𝐶= 5−1 2 + 5−−2 2 = 4 2 + 7 2 = 16+49 = 66 =8.12 𝐴𝐶= 5−−3 2 + 5−4 2 = 8 2 + 1 2 = 64+1 = 65 =8.06

Circumference on a Coordinate Plane Find the circumference of the circle with a center C(-3,2) and contains the point A(0,3). 𝑟= 0−−3 2 + 3−2 2 𝑟= −3 2 + 1 2 r A C 𝑟= 9+1 = 10 ≈3.16 𝐶=2𝜋(3.16) =19.84

Take Home Message Perimeter of polygons Circumference of circles The distance formula can be used to solve other problems