Applied Mathematic Preliminary General 1 Perimeter of Simple

Applied Mathematic (Preliminary General 1) Perimeter of Simple Figures Stage 6 - Year 11 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use 1

What Industries use Perimeter, Area and Volume. Building, Farming, Cooking, etc. End of Slide 2

What is Perimeter? It’s the distance around the outside of the shape. Press End of Slide 3

What is the Perimeter of a Right Triangle? To find the perimeter, find the hypotenuse. Pythagoras Theorem 5 m Hy c 2 = a 2 + b 2 po 3 m tec 2 = nu se 32 + 42 c 2 = 25 c = 5 cm 4 m Perimeter = 3 m + 4 m + 5 m = 12 m End of Slide 4

Find the Perimeter of the Right Triangle. 4 m Pythagoras Theorem c 2 = a 2 + b 2 9. 8 m 9 m c 2 = 4 2 + 9 2 c 2 = 97 c ≈ 9. 8 Perimeter = 4 m + 9. 8 m = 22. 8 m Do Questions 1 and 2 End of Slide 5

Find the Perimeter of a Circle. The Perimeter is called the Circumference. D = 2 r C=2πr or C=πD Radius Diameter Press End of Slide 6

Find the Perimeter of a Circle. r = 3 cm C = 2πr =2 xπx 3 ≈ 18. 8 cm Do Questions 3 D = 7 cm C = πD =πx 7 ≈ 22. 0 cm End of Slide 7

Find the Perimeter of the Semicircle. A Semicircle is half a Circle. D = 2 r Curved = 0. 5 x π D +D Press Diameter Perimeter = 0. 5 x π D + D End of Slide 8

Find the Perimeter of the Semicircle. D = 2 r Diameter = 12 cm Perimeter = 0. 5 x π D + D = 0. 5 x π x 12 + 12 = 30. 9 cm Do Questions 4 End of Slide 9

Find the Perimeter of the Quadrant. A Quadrant is quarter of a Circle. D = 2 r Radius Curved = 0. 25 x 2π r +r+r Press Radius Perimeter = 0. 25 x 2π r + 2 r End of Slide 10

Find the Perimeter of the Quadrant. D = 2 r 7 cm Perimeter = 0. 25 x 2π r + 2 r = 0. 25 x 2 x π x 7 + 2 x 7 = 135. 0 cm Do Questions 5 End of Slide 11