Saturday, October 10, 2009

SVG version of :Image:Area.Image via Wikipedia
pi (π)=3.1415926535 ...

Perimeter formula

Square4 * side
Rectangle2 * (length + width)
Parallelogram2 * (side1 + side2)
Triangleside1 + side2 + side3
Regular n-polygonn * side
Trapezoidheight * (base1 + base2) / 2
Trapezoidbase1 + base2 + height * [csc(theta1) + csc(theta2)]
Circle2 * pi * radius
Ellipse4 * radius1 * E(k,pi/2)
E(k,pi/2) is the Complete Elliptic Integral of the Second Kind
k = (1/radius1) * sqrt(radius12 - radius22)

Area formula

Squareside2
Rectanglelength * width
Parallelogrambase * height
Trianglebase * height / 2
Regular n-polygon(1/4) * n * side2 * cot(pi/n)
Trapezoidheight * (base1 + base2) / 2

Circlepi * radius2
Ellipsepi * radius1 * radius2

Cube (surface)6 * side2
Sphere (surface)4 * pi * radius2
Cylinder (surface of side)perimeter of circle * height

2 * pi * radius * height
Cylinder (whole surface)Areas of top and bottom circles + Area of the side

2(pi * radius2) + 2 * pi * radius * height
Cone (surface)pi * radius * side
Torus (surface)pi2 * (radius22 - radius12)

Volume formula

Cubeside3
Rectangular Prismside1 * side2 * side3
Sphere(4/3) * pi * radius3
Ellipsoid(4/3) * pi * radius1 * radius2 * radius3
Cylinderpi * radius2 * height
Cone(1/3) * pi * radius2 * height
Pyramid(1/3) * (base area) * height
Torus(1/4) * pi2 * (r1 + r2) * (r1 - r2)2
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