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Click to Select a Page... Main Page Math Terms Formulas: Geometry Number Series Perfect Numbers-definition Hex Decimal Integer Conversion Table How To Compute The Square Root What's 13 times 7? Prove That 1 = 2 Number Tricks It's Impossible Computerized Long Form Math Fun With Math Strip Home Page DavesFunStuff Dave's Fun Stuff Find your favorite TV shows with "Let's Watch TV!" Dave's Fun Stuff SDN Media News and More Dave's Fun Stuff Super Birthdays Contact Webmaster

Formulas: Trigometry and Geometry

NOTE: pi = 3.14159265358979323846

Perimeters/Circumferences (2-D)

Circle: Circumference = pi * diameter
Rectangle: Perimeter = 2 * length + 2 * width
Square: Perimeter = 4 * side
Triangle: Perimeter = 3 * side
Regular Hexagon: Perimeter = 6 * side
Trapezoid: Perimeter = 2 * aside + 2 * bside
Note: aside and bside are measurements of two consecutive sides of the trapezoid.

Diagonals (2-D)

Diamond Square: side = SQR(diag²/2)
Square: Diagonal = (side² * 2)^1/2 or SQR((side² * 2))
Circle: Diameter = radius * 2, radius = diameter/2
Rectangle: Diagonal = (length² * width²)^1/2
Triangle (Perfect): Height = (side * SQR(3))/2

Areas (2-D)

Triangle: Area = (base * height) / 2
Triangle (Perfect): Area = (side/2)² * SQR(3)
Triangle (Perfect): Area = SQR (side² - (side/2)²)
Diamond Square: AREA = diagonal²/2
Square: Area = side²
Rectangle: Area = length * width
Parallelgram: Area = base * height
Trapezoid: Area = height * (base1 + base2)/2
Wrecktangle: Divide into two triangles and use triangle forula to combine
Circle: Area = pi * radius²
Ellipse: Area = pi * a * b
Trapezoid: Area = (height*(aside + bside))/2
Note: aside and bside are measurements of two consecutive sides of the trapezoid.
Regular Pentagon: Area = 1.720 * side²
Regular Hexagon: Area = 2.598 * side²
Regular Hexagon: Area = 3 * (side/2)² * SQR(3)
Regular Octagon: Area = 4.828 * side²

Edge Length (3-D)

Cube: Edge = side * 12
Rectangular Prism: Edge = length * 4 + width * 4 + height * 4
Tetrahedron (4-sided Triangular Figure): Edge = side * 6

Diagonals (3-D)

Cube:

Surface Areas (3-D)

Cube: Area = side² * 6
Rectangular Prism: Area = 2 * (length * width + width * height + height * length)
Tetrahedron: Area = (base * height) * 2
Sphere: Area = radius² * pi * 4

Volume (3-D)

Cube: Volume = side³
Rectangluar Prism: Volume = length * width * height
Pyramid: Volume = (AreaOfBase * height)/3
Cylinder: Volume = pi * r² * height
Cone: Volume = (pi * r² * height)/3
Sphere: Volume = (4 * pi * r³)/3

Temperature Conversions

Celsius = (Fahrenheit - 32) / 1.8
Fahrenheit = (Celsius * 1.8) + 32
Absolute Zero = -273.16 degrees Celsius or Zero degrees Kelvin!

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