Geometry

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Important Maths Formulas of Geometry:  Plane Figures

Name of the Figure Figure Area Perimeter Nomenclature
Rectangle  Rectangle area of a rectangle Perimeter of rectangle Length

 

b =breadth

Square  Square a × a 4 × a a = side
Quadrilateral  Quadrilateral  Area of quadrilateral p + q + r + s d = diagonal

h1, h2 = altitudes

p, q, r, s = sides

Triangle  Triangle area of a triangle

area of a triangle

 

a + b + c h = altitude

a, c = sides

b= base

Parallelogram  Parallelogram b × h 2 × (a + b) h = altitude

a = side

b = base

Rhombus  Rhombus  Area of a rhombus 4 × s d1, d2 = diagonals

s = side

Trapezium  Trapezium Area of a trapezium a + b + c + d a, b = parallel sides

c, d = non-parallel sides

h = altitude

Circle  Circle πr2 2πr π = 3.14 or 22/7

r = radius

 

Important Maths Formulas of Geometry:  Solid Figures

Name
of the Figure
Figure Lateral
/Curved Surface Area
Total Surface Area Volume  Nomenclature
Cuboid Cuboid 123456 Total surface area of a cuboid Volume of a cuboid  b = breadth
h = height
 Cube  Cube  Lateral or curved surface area of a cube  Total surface area of a cube  Volume of a cube  s = side
 Right circular cylinder  Cylinder Lateral or curved surface area of a Cylinder Total surface area of a cylinder Volume of a cylinder π = 3.14 or 22/7

r = radius

h = height

 Right circular cone  cone Curved or lateral surface area of a cone Total surface area of a cone  Volume of a cone π= 3.14 or 22/7

r = radius

h = height

 Sphere  Sphere    —  Total surface area of a sphere  Volume of a sphere π = 3.14 or 22/7

r = radius

 Hemisphere  Hemisphere  Curved surface area of a hemisphere  Total surface area of a hemisphere Volume of a hemisphere π = 3.14 or 22/7

r = radius