Perimeter formula |
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Square
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4 * side
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Rectangle
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2 * (length + width)
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Parallelogram
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2 * (side1 + side2)
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Triangle
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side1 + side2 + side3
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Regular n-polygon
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n * side
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Trapezoid
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height * (base1 + base2) / 2
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Trapezoid
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base1 + base2 + height * [csc(theta1) + csc(theta2)]
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Circle
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2 * pi * radius
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Ellipse
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4 * 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 |
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Square
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side2
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Rectangle
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length * width
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Parallelogram
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base * height
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Triangle
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base * height / 2
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Regular n-polygon
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(1/4) * n * side2 * cot(pi/n)
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Trapezoid
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height * (base1 + base2) / 2
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Circle
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pi * radius2
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Ellipse
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pi * radius1 * radius2
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Cube (surface)
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6 * side2
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Sphere (surface)
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4 * pi * radius2
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Cylinder (surface of side)
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perimeter of circle * height
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2 * pi * radius * height
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Cylinder (whole surface)
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Areas of top and bottom circles + Area of the side
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2(pi * radius2) + 2 * pi * radius * height
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Cone (surface)
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pi * radius * side
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Torus (surface)
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pi2 * (radius22 - radius12)
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Volume formula |
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Cube
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side3
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Rectangular Prism
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side1 * side2 * side3
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Sphere
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(4/3) * pi * radius3
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Ellipsoid
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(4/3) * pi * radius1 * radius2 * radius3
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Cylinder
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pi * radius2 * height
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Cone
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(1/3) * pi * radius2 * height
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Pyramid
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(1/3) * (base area) * height
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Torus
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(1/4) * pi2 * (r1 + r2) * (r1 - r2)2
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Source: Spiegel, Murray R. Mathematical Handbook of Formulas and Tables.
Schaum's Outline series in Mathematics. McGraw-Hill Book Co., 1968.
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