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Shape |
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Formula |
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|
| Circle |
Area = Square of Diameter x .7854 or Square of Radius x 3.1416
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Circumference = Diameter X 3.1416
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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
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Diameter of Circle = Side of Square x 1.128
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| 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 .414
|
| 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 x 3.1416
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| Volume = Square of Diameter x Length x .7854 |
|
| Cone |
Area od 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 of Slant Height
|
| Volume = Area of Base x 1/3 Perpendicular Height |
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