FORMULAS for Chapter 5



Geometry Formulas

|Pythagorean Theorem: [pic] |[pic] |

| |[pic] |

|Conversion factors: |[pic] |

|1 yd = 3 ft = 36 inches | |

|1 m = 100 cm = 1000 mm | |

|1 km = 1000 m | |

|A = area; b = base; C = circumference; h = height; |

|l = length; r = radius; SA = surface area; V = volume |

|Circle: [pic]; [pic] |Rectangle: [pic]; [pic] |

|Triangle Area Formulas: |Trapezoid: [pic] |

|[pic] | |

|Heron’s Formula: [pic] | |

|where [pic] | |

|Surface Area = the sum of the areas of each exterior surface of the 3-dimensional figure |

|Cylinder: [pic]; [pic] |Sphere: [pic]; [pic] |

|Solid with matching base and top (equal cross sections): |

|[pic] |

|Cone Volume: [pic] |Pyramid Volume: [pic] |

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[pic]

[pic]

[pic]

h

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