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Notes: Area of Composite and Complex Figures

Notes: Area of Composite and Complex Figures Divide shape into multiple parts. Make sure they are shapes that you have a formula for. For example: Divide a composite figure into a half circle and a trapezoid. Example #1:. Divide the shape into two rectangles. A B C D.

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Notes: Area of Composite and Complex Figures

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  1. Notes: Area of Composite and Complex Figures Divide shape into multiple parts. Make sure they are shapes that you have a formula for. For example: Divide a composite figure into a half circle and a trapezoid.

  2. Example #1: Divide the shape into two rectangles. • A • B • C • D Find the area of the figure. 5 X 22 + 14 X 7 110 + 98 208 sq. ft 12-5=7 ft

  3. Example #2: Divide this composite figure into two parts: a half circle and a trapezoid. Area of Trapezoid: F = ½ (b1 + b2)h S = ½ (15+19)8 = ½ (34)8 A A= 136 sq. yd. 8 yd Area of circle: F = лr2 S = л(4) 2 A A= 50.24 sq yd ½ circle = ½ (50.24) = 25.12 Now add together the two parts to find the total area. ½ circle + trapezoid = 136 + 25.12 = 161.12 sq. yd

  4. Area of Rectangle: LXW 6 X 2.2 13.2 sq. yd Area of Circle D=6 R=3 R2=9 Л R2=3 X 9 27 sq. yd Add together the rectangle and ½ the circle: 13.2 + ½ (27) 13.2 + 13.5 26.2 sq. yd A Example #3 • A • B • C • D Find the area of the figure. Use 3 for pi.

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