1 / 7

Understanding Area Calculations for Complex Figures

This guide explores the formulas used to calculate the areas of common geometric shapes, including parallelograms, triangles, trapezoids, and circles. It provides specific area formulas: Triangle (A = ½ bh), Parallelogram (A = bh), Trapezoid (A = ½ h(b1 + b2)), and Circle (C = Πd or 2Πr and A = Πr²). Through examples, we demonstrate how to decompose complex figures into simpler shapes and apply the appropriate area formulas to find total areas. Ideal for students or anyone looking to reinforce their understanding of geometry.

hali
Télécharger la présentation

Understanding Area Calculations for Complex Figures

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related