This section is from the book "Cyclopedia Of Architecture, Carpentry, And Building", by James C. et al. Also available from Amazon: Cyclopedia Of Architecture, Carpentry And Building.

Circumference of a circle | = | diameter X 3.1416 |

Area of a circle | = | square of the radius X 3.1416 |

Area of a circle | = | square of the diameter X 0.7854 |

Area of a circle | = | square of the circumference X 0.07958 |

Area of a circle | = | half the circumference X half the diameter |

Radius of a circle | = | circumference X 0.159155 |

Radius of a circle | = | square root of the area X 0.56419 |

Diameter of a circle | = | circumference X 0.31831 |

Diameter of a circle | = | square root of area X 1.12838 |

Side of an inscribed square | = | diameter X 0.7071 |

Side of an inscribed square | = | circumference X 0.2251 |

Side of an equal square | = | diameter X 0.8862 |

Area of a triangle | = | base by 1/2 the altitude |

Area of an ellipse | = | product of both diameters X .7854 |

= | circumference X diameter | |

Surface of a sphere | = | square of the diameter X 3.1416 |

Surface of a sphere | = | square of the circumference X 0.3183 |

Solid contents of a sphere | = | surface X 1/16 of its diameter |

Solid contents of a sphere | = | cube of diameter X 0.5236 |

Diameter of a sphere | = | square root of surface X 0.56419 |

Diameter of a sphere | = | cube root of solidity X 1.2407 |

Circumference of a sphere | = | cube root of solidity X 3.8978 |

Solid contents of a cone or pyramid | = | area of base X 1/3 altitude |

Surface of a cube | = | six X area of one side |

Area of trapezoid | = | altitude X 1/2 sum of parallel sides |

Note - Volumes of similar solids are to each other as the cubes of their similar lines.

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