List of formulae

From Karnataka Open Educational Resources

Algebraic Identities

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Geometric Results

Formulae for commercial arithmetic

Statistical Formulae

Mensuration

Area and Perimeter of Plane Figures

Name Perimeter Area
Triangle (a+b+c), where a, b, c are sides  

where "h" is the height from any vertex to the opposite side "b"

Circle    
Square  

Where a is the side of a square

 
Rectangle  

Where l & b are the length & breadth

 
Trapezium  

Where a,b,c and d are the sides

 

Where a and b are parallel sides of trapezium. And h is the perpendicular distance between two parallel sides.

Parallelogram  

Where a & b are the sides of Parallelogram

 

Where b is base and h is the perpendicular distance between base b and its parallel side.

Rhombus  

Where a is the side of a rhombus

 

Where d1 and d2 are diagonals of rhombus

LSA(CSA) TSA & VOLUME of Solid Figures

Name of the Solid LSA(CSA)in sq.units TSA in sq.units VOLUME in cubic units
CUBE  

Where lenght(l)=breadth(b)=height(h)

   
CUBOID      
PRISM

1)EQUILATERAL TRIANGLE RIGHT PRISM

 

Where P=3a is the perimeter of base triangle

 

Where B=  is the area of base

 

Where B= 

2)SQUARE BASED RIGHT PRISM  

Where P=4a is the perimeter of base square

 

Where B=  is the area of base

 

Where B= 

PYRAMID

1)EQUILATERAL TRIANGLE BASED RIGHT PYRAMID

 

Where P=3a is the perimeter of base triangle
l is the slant height

 

Where B=  is the area of base

 

Where B= 

2)SQUARE BASED RIGHT PYRAMID  

Where P=4a is the perimeter of base square
l is the slant height

 

Where B=  is the area of base

 

Where B= 

CYLINDER  

Where r is the radius of circular base

 

where "h" is the height of cylinder

 
CONE  

Where l is the slant height

 

Where r is the radius of circular base

 

Where h is the height or depth of the cone

FRUSTUM OF CONE  

Where l= 

Failed to parse (syntax error): {\displaystyle π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}}

Where   &   are the radii of two bases 

 

Where h is the height or depth of the frustum ofcone

SPHERE      
HEMISPHERE