PRIMETER AREA AND VOLUME FORMULAS

FORMULAS

AREA AND PERIMETER OF SQUARE

Area of square = a²   

Perimeter of square = 4a

Here "a" stands for side length of square.

AREA AND PERIMETER OF RECTANGLE

Area of rectangle = l x b

Perimeter of rectangle = 2(l + b)

Here L and w represents length and width of rectangle.

AREA AND PERIMETER OF EQUILATERAL TRIANGLE

Area of Equilateral triangle = (√3/4) a²

Perimeter of Equilateral triangle = 3a

Here "a" represents side length of triangle.

AREA AND PERIMETER OF SCALANE TRIANGLE

Area of scalene triangle = √s(s-a)(s-b)(s-c)

Perimeter of scalene triangle = a + b +  c

Here "s = (a + b + c)/2"

AREA AND PERIMETER OF QUADRILATERAL

Area of quadrilateral =(1/2) x d x (h₁+h₂)

Perimeter of quadrilateral = Sum of all four sides

AREA AND PERIMETER OF PARALLELOGRAM

Area of parallelogram = b x h

Perimeter of quadrilateral = Sum of all four sides

AREA AND PERIMETER OF RHOMBUS

Area of rhombus =(1/2) x (d₁ x d₂)

AREA AND PERIMETER OF TRAPEZIUM

Area of trapezoid =(1/2) (a + b) x h

AREA AND CICUMFERENCE OF CIRCLE

Area of circle = Π r ²

Circumference of circle = 2 Π r

AREA AND PERIMETER OF SEMI CIRCLE

Area of Semi circle= (1/2) Π r²

Perimeter of semi circle = (Π+2)r

AREA AND PERIMETER OF QUADRANT

Area of quadrant = (1/4) Π r²

Perimeter of quadrant = [(Π/2) + 2] r

AREA AND PERIMETER OF SECTOR

Area of the sector = (θ/360) x Π r ² square units

Length of arc = (θ/360) x 2Πr

AREA AND VOLUME OF CUBE

Curved surface area of cube = 4a²

Total surface area = 6a²

Volume of cube = a³

AREA AND VOLUME OF CUBOID

Curved surface area of cube = 2h (L + b)

Total surface area = 2(Lb + bh + hL)

Volume of cuboid = L x b x h 

Here "L" "b" and "h" stands for length,breadth and height respectively.

AREA AND VOLUME OF CYLINDER

Curved surface area = 2 Π r h

Total surface area = 2 Π r (h + r)

Volume = Π r² h

r-radius , h - height

AREA AND VOLUME OF HOLLOW CYLINDER

Curved surface area= 2Π h (R+r)

Total surface area =  2 Π (R + r) (R - r + h)

Volume = Π h (R² - r²)

AREA AND VOLUME OF CONE

Curved Surface area = Π r L

Total surface area = Π r (L + r)

Volume = (1/3) Π r²h

L² = r² + h²

AREA AND VOLUME OF SPHERE

Curved Surface area = 4 Π r²

Volume = (4/3) Π r³

Curved Surface area of hemisphere = 2 Π r²

Total Surface area of hemisphere = 3Πr²

Volume = (2/3) Π r³

AREA AND VOLUME OF HOLLOW HEMISPHERE

Curved Surface area = 2 Π (R² + r²)

Total Surface area = Π (3 R² + r²)

Volume = (2/3) Π (R³ - r³)