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Generic Formulas

© Copyright 2011 Willbanks Metals, Inc. 1155 N.E. 28th Street Fort Worth, Texas 76106 817.625.6161 - Webmail
Original site design concept by The Fowler Group
Website developed and maintained by Travis J Consulting
CIRCLE

Area = Square of Diameter x .7854 or Square of Radius x 3.1416

Circumference = Diameter x 3.1416

Diameter = Circumference x .3183
Doubling diameter increases area four times; tripling diameter increases area nine times, etc.
SQUARE

Area = Square of Side

Diagonal = Side x 1.4142

Side = Diagonal x .7071
SQUARE INSCRIBED IN CIRCLE

Side of Square = Diameter of Circle x .7071 or Circumference of Circle x .2251

Diameter of Circle = Side of Square x 1.4142

Circumference of Circle = Side of Square x 4.4429
SQUARE AND CIRCLE WITH EQUAL AREA

Side of Square = Diameter of Circle x .8862

Diameter of Circle = Side of Square 1.128

Circumference of Circle = side of Square x 3.545
RECTANGLE

Area = Length x Width

Diagonal = Square root of sum of squares of Width and Length
TRIANGLE

Area = Base x 1/2 of Perpendicular Height
HEXAGON (Equal sides and angles)

Area  = Square of Distance across Flats x .866 or Square of Side x 2.598

Side = 1/2 of Diagonal or Distance across Flats x .577

Diagonal = Distance across Flats x 1.155 or Side x 2
OCTAGON (Equal sides and angles)

Area = Square of Distance across Flats x .828 or Square of Side x 4.828

Side = Diagonal x .383 or Distance across Flats x 4.14

Diagonal = Distance across Flats x 1.082 or Side x 2.613
SPHERE

Area of Surface = Square of Diameter x 3.1416

Volume
= Cube of Diameter x .5236
CUBE

Area of Surface = Square of Side x 6

Volume = Cube of Side

Diagonal = Side x 1.732
CYLINDER

Area of curved Surface - Diameter x Length 3.1416

Volume = Square of Diameter x Length x .785
CONE

Area of Curved Surface = Diameter of Base x Slant Height x 1.5708

Volume = Diameter of Base Squared x Perpendicular Height x .2618 or Area of Base x 1/3 Perpendicular Height
PYRAMID

Lateral Surface Area = (not incl. base) = Perimeter of Base x 1/2 Slant Height

Volume = Area of Base x 1/3 Perpendicular Height