# Vital Information_1

Geometric Formulas

Circle
area                                                                                                          =            1/2 diameter x  1/2 circumference
area of sector                                                                                         =              lenght of arc x  1/2 radius
area of segment which is greater than semicircle                         =              area of sector of equal radius plus area of triangle
area of segment which is less the semicircle                                =               area of sector of equal radius minus area of triangle
circumference                                                                                        =                diameter x 3.1416

diameter                                                                                                  =                circumference x  .3183
radius                                                                                                       =               circumference x  . 0159155
Cylinder of Prism
Surface                                                                                    =                           (area both ends)  + ( length  x  circumference)
Ellipse
area                                                                                               =                             product of the two diameters  x  .7854
Parabola
area                                                                                                =                              2/3 altitude  x  base
Parallelogram
area                                                                                                 =                             altitude x  base
Polygon ( Regular)
area                                                                                                  =                             sum of sides x  perpendicular from center to one of sides ÷ 2
Pyramid or Cone
surface                                                                                              =                              circumference of base x  1/2 slant height + area of base
contents                                                                                            =                               1/3 altitude x area of base
Rectangle
area                                                                                                    =                               lenght x width
Sphere circumference                                                                    =                                cube root of solidity x 3.8978
=                                 square root of surface x 1.772454
Contents                                                                                             =                                 diameter x  .5236
content of segment                                                                           =                                  ( height squared + three times the square of radius of base) x
( height x  .5236)
diameter                                                                                              =                                   square root of surface  x  .56419
=                                    cube root of solidity  x  1.2407
surface                                                                                                 =                                   circumference  x  diameter
volume                                                                                                  =                                  surface  x  1/6 diameter
=                                   diameter cubed x  05236