AREA AND VOLUME FORMULAS OF COMMON GEOMETRICAL FIGURES

 

Rectangle of "a" and "b" sides

Area = a* b

Perimeter = 2a + 2b

 

Triangle of "h" height and "a", "b" and "c" sides

Area = 0.5 * b * h = 0.5 * b * a * sin (ang)

Perimeter = a + b + c

 

 

 

Circle of "R" radius

Area = 2 * 3.1415...* R

Circunference = 2 * 3.1415... * R

 

 

Polygon with "N" sides of "b" length

ang (radians) = (2 * 3.1415...) / N

Area = 0.25 * N * b * cotg (3.1415 / N) = 0.5 * N * a * b

 

 

Ellipse of "a" and "b" semiaxis
Area = 3.1415.. * a * b

 

 

Rectangular Parallelepiped  of "a" and "b" sides and "h" height

Volume = a * b * h

Surface Area = 2 * ( a * b + a * h + b * h)

 

 

Pyramid of "A" base and "H" height

Volume =1/3 * A * H

 

 

"R" radius Sphere

Volume = 4/3 * 3.1415.. * R * R * R

Surface Area = 4 * 3.1415.. * R * R

 

 

Ellipsoid of "a", "b" and "c" semiaxis

Volume = 4/3 * 3.1415.. * a * b * c

 

 

Circular Straight Cone of "h" height and "r" radius

Volume = 1/3 * 3.1415... * r * r * h

 

 

Circular Straight Cylinder of "H" height and "R" radius

Volumen = 3.1415... * R * R * H

 

 

 

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