Table Of Multiples
Description
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.
Table Of Multiples
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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