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# area of composites.ppt

1 Apr 2023
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### area of composites.ppt

1. Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure).
2. Area of Composite Shapes Example #1: Find the area of the composite shape below. 10 feet 4 feet Plan: Area of a Rectangle + Area of ½ Circle l(w) + ½ πr 2 4(10) + ½ π(2) 2 Diameter = 4 feet Radius = 2 feet 4(10) + ½ π(4) 40 + ½ π(4) 40 + (1.57)(4) 40 + 6.28 46.28 square feet
3. Area of Composite Shapes Example #2: Find the area of the shaded region. Plan: Area of a Square - Area of Circle l(w) - πr 2 4(4) - π(2) 2 4(4) - π(4) 16 - π(4) 16 - 12.56 3.44 square cm 4 cm 4 cm 4 cm 4 cm
4. Area of Composite Shapes Example #3: Find the area of the shaded region. Plan: Area of a Trapezoid - Area of a Triangle ½(h)(b1 + b2) - ½(b)(h) ½(4)(18) - ½(6)(4) 6 in 5 in 4 in 12 in ½(4)(6 + 12) - ½(6)(4) 36 - ½(6)(4) 36 - 12 24 square inches
5. Area of Composite Shapes Example #4: Find the area of the shaded region. Plan: Area of a Trapezoid - Area of a Circle ½(h)(b1 + b2) - πr 2 ½(8)(21) - π(4) 2 ½(8)(6 + 15) - π(4) 2 ½(8)(21) - π(16) 84 - π(16) 33.76 square feet 8 ft 15 ft 6 ft 10 ft 84 – 50.24
6. Area of Composite Shapes Example #5: Find the area of the polygon below. Plan: Area of a Rectangle+ Area of a Rectangle l(w)+ l(w) 162 + 55 9(18) + 5(11) 217 Square inches 18 in 5 in 11 inches 9 inches
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