Geometric Formulas

 Circle Area= Square of Diameter x .7854 or Square of Radius x 3.1416 Circumference= Diameter x 3.1416 Diameter= Circumference x .3183
 Doubling diameter increases area four times; tripling diameter increases area nine time, etc.

 Square Area= Square of Side Diagonal= Side x 1.4142 Side= Diagonal x .7071

 Square Inscribed In Circle Side of Square= Diameter of Circle x .7071 or Circumference of Circle x .2251 Diameter of Circle= Side of Square x 1.4142 Circumference of Circle= Side of Square x 3.545

 Rectangle Area= Length x Width Diagonal= Square root of sum of squares of Width and Length

 Triangle Area= Base x 1/2 of Perpendicular Height

 Hexagon (Equal sides and angles) Area= Square of Distance across Flats x .866 or Square of Side x 2.598 Side= 1/2 of Diagonal or Distance across Flats x .577 Diagonal= Distance across Flats x 1.155 or Side x 2

 Octagon (Equal sides and angles) Area= Square of Distance across Flats x .828 or Square of Side x 4.828 Side= Diagonal x .383 or Distance across Flats x .414 Diagonal= Distance across Flats x 1.082 or Side x 2.163

 Sphere Area of Surface= Square of Diameter x 3.1416 Volume= Cube of Diameter x .5236

 Cube Area of Surface= Square of Side x 6 Volume= Cube of Side Diagonal= Side x 1.732

 Cylinder Area of Curved Surface= Diameter x Length x 3.1416 Volume= Square of Diameter x Length x .7854

 Cone Area of Curved Surface= Diameter of Base x Slant Height x 1.5708 Volume= Diameter of Base Squared x Perpendicular Height x 1.5708 or Area of Base x 1/3 Perpendicular Height

 Pyramid Lateral Surface Area(not incl. base)= Perimeter of Base x 1/2 Slant Height Volume= Area of Base x 1/3 Perpendicular Height