GEOMETRIC FORMULAS 

Circle 


Area 
= 
½ diameter x ½ circumference 

Area of sector 
= 
Length of arc x ½ 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 than semicircle 
= 
Area of sector of equal radius minus area of triangle 

Circumference 
= 
Diameter x 3.1416 

Diameter 
= 
Circumference x .31 83 

Radius 
= 
Circumference x .0159155 




















Pyramid or Cone 


Rectangle 





Circumference 
= 
Cube root of solidity x 3.8978 
Contents 
= 
Diameter x .5236 
Contents of Segment 
= 
(height squared + three times the square of radius of base) x ( height x .5236) 
Diameter 
= 
Square root of surface x .56419 
Surface 
= 
Circumference x diamter 
Volume 
= 
Surface x 1/ 6 diameter 














