K.KUMAR(KVM)MATHS IMPORTANT FORMULA

PERIMETERPerimeter of a Rectangle = 2× (length + Breadth)Perimeter of a Square = 4 × SidePerimeter of a Parallelogram =2 × (sum of two adjacent sides)Perimeter of a Rhombus = 4×SidePerimeter of a Circle = 2πr

AREAArea of a Rectangle =length × BreadthArea of a Square =Side × SideArea of a Triangle = ½ × Base × LengthArea of a Parallelogram = Base × HeightArea of a Rhombus =½ × Digonal1 × Diagonal2Area of a Circle =πr²Area of a Trapezium =½ × Height × (sum of the parallel side)Area of a Quadrilateral =½ × Diagonal × (sum of off set side)

CUBOIDVolume of a Cuboid = Length × Breadth × HeightSurface area of a Cuboid = 2(Length × Breadth + Breadth × Height + Height × Length)

CUBE Volume of a Cube = Side× Side × Side or (side)³ Surface area of a Cube = 6 × (side)²

CYLINDERVolume of a Cylinder = πr²hLateral surface area of a Cylinder = 2πrhTotal surface are of a Cylinder = 2πr(r+h)

RECTANGLELength of a Rectangle =Area of the Rectangle ÷ Breadth of rectangleBreadth of a Rectangle =Area of the Rectangle ÷ Length of rectangleVolume of a Rectangle =Length × Breadth × Height

PARALLELOGRAMBase of a Parallelogram = Area of the Parallelogram ÷ Height of the ParallelogramHeight of a Parallelogram = Area of the Parallelogram ÷ Baseof the Parallelogram

ALGEBRIC IDENTITIES

(a+b) ² = (a) ² + 2×a×b + (b) ²(a- b) ² = (a) ² - 2×a×b + (b) ²(a+b) (a-b) = (a)² - (b) ²(a+x) (b+x) =x² +(a+b)×x+(a×b)(a-x) (b-x) =x² -(a+b)×x+(a×b)(a+x) (b-x) =x² +(a-b)×x-(a×b)(a-x) (b+x) =x² -a-b)×x+(a×b)(a+b+c)² =a²+b²+c²+2ab+2bc+2ca(a-b-c)² =a²+b²+c²-2ab+2bc-2ca(a-b+c)² =a²+b²+c²-2ab-2bc+2ca(a+b-c)² =a²+b²+c²+2ab-2bc-2ca(a+b)³ =a³+b³+3a²b+3ab² OR =a³+b³+3ab (3a+b)(a-b)³ =a³-b³-3a²b+3ab² OR =a³-b³-3ab (a-b)a³+b³ =(a+b) (a²+b²-ab)a³-b³ =(a-b) (a²+b²+ab)a³+b³+c³-3abc = (a+b+c) (a²+b²+c²-ab-bc-ca

K.KUMAR(KVM)