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7.3 Area of Complex Figures

7.3 Area of Complex Figures. 7.3 Area of Complex Figures. What are the formulas for the areas of a parallelogram, triangle, trapezoid, and circle? What is the circumference formula for a circle?. Triangle A = ½ bh. Parallelogram A = bh. Circle C = Π d or 2 Π r. Trapezoid

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7.3 Area of Complex Figures

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  1. 7.3 Area of Complex Figures

  2. 7.3 Area of Complex Figures • What are the formulas for the areas of a parallelogram, triangle, trapezoid, and circle? What is the circumference formula for a circle? Triangle A = ½ bh Parallelogram A = bh Circle C = Πd or 2Πr Trapezoid A = ½ h(b1 + b2) Circle A = Πr2

  3. Example 1 • Find the area of the complex figure. • How can this figure be separated? • What are the formulas that are needed to solve this problem? The area of the figure is 24 + 180. This equals 204. 4 Triangle A = ½ bh A = ½ (12)(4) A = 24 Rectangle A = bh A = 12(15) A = 180 12 15 NOW WHAT!?!

  4. Example 2 • Find the area of the complex figure. • What formulas do we use? Semi-circle A = ½ Πr2 A = ½ Π (3)2 A = 14.1 6 Triangle A = ½ bh A = ½ (6)(11) A = 33 11 Now what!?! Add the areas together. 14.1 + 33 = 37.1

  5. Example 3 • Find the area of the complex figure. • What shapes can this be separated into? • What are the formulas needed? Triangle A = ½ bh A = ½ (12)(8) A = 48 6 6 16 Rectangle A = bh A = 8(24) A = 192 8 24 Add the areas together. 48 + 192 = 240

  6. Practice • Find the area of the complex figures. 10 2 half circles = 1 whole circle Circle A = Πr2 A = Π(3.5)2 A = 38.5 7 Rectangle A = bh A = 7(10) A = 70 70 + 38.5 = 108.5

  7. Practice… Square A = s2 A = 62 A = 36 Remember: there are 2 squares Trapezoid A = ½ h(b1 +b2) A = ½ 5 (18 + 8) A = ½ 5(26) A = 65 8 5 6 6 6 6 6 Add them up! 36 + 36 + 65 = 137

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