List of All Geometry Formulas PDF

PDF Name	List of All Geometry Formulas
No. of Pages	5
PDF Size	0.07 MB
Language	English
PDF Category	Education & Jobs
Source / Credits	files.pdfpdf.in
Uploaded By	Pradeep

List of All Geometry Formulas - Summary

Understanding 2D and 3D Geometry

Geometry has special rules called formulas that help us find things like length, area, and volume. In 2D geometry, we look at flat shapes like squares, circles, and triangles. In 3D geometry, we look at solid shapes like cubes, balls (spheres), boxes (cuboids), and cones that take up space.

Why Geometry Formulas Are Important

Learning these formulas is very useful. They help us solve real-life problems, like finding out how much space a garden takes or how much water a tank can hold. It makes math more fun and helps us in everyday life!

List of All Geometry Formulas for Classes 6 to 12th

SHAPES	FORMULAS
1. Right Triangle	Pythagoras Theorem: a² + b² = c² Area = ½ ab Perimeter = a + b + √(a² + b²) Where, c = hypotenuse of a triangle a = altitude of a triangle b = base of a triangle
2. Triangle	Perimeter, P = a + b + c Area, A = ½ bh Height, h = 2(A/b) Where, a,b,c are the sides of a triangle.
3. Rectangle	Perimeter = 2(l + w) Area = lw Diagonal, d = √(l² + w²) Where, l = length of a rectangle w = width of a rectangle
4.Parallelogram	Perimeter, P = 2(a + b) Area, A = bh Height, h = A/b Base, b = A/h Where, a and b are the sides of a parallelogram h = height of a parallelogram
5. Trapezium	Area, A = ½(a + b)h Height, h = 2A/(a + b) Base, b = 2(A/h) – a Where, a and b are the parallel sides h = distance between two parallel sides
6. Circle	Circumference = 2πr Area = πr² Diameter = 2r Where, r = radius of a circle
7. Square	Perimeter, P = 4a Area, A = a² Diagonal, d = a√2 Side, a = √A = d/2√2 Where, a = side of a square
8. Arc	Arc Length, L = rθ Area, A = ½r²θ Here, θ is the central angle is radians. Where, r = radius
9. Cube	Area, A = 6a² Volume, V = a³ Edge, a = V^⅓ Space diagonal = a√3 Where, a = side of a cube
10. Cuboid	Surface Area, A = 2(lb + bh + hl) Volume, V = lbh Space diagonal, d = √( l² + b² +h²) Where, l= length b= breath h= height
11. Cylinder	Total Surface Area, A = 2πrh + 2πr² Curved Surface Area, A_c = 2πrh Volume, V = πr²h Base Area, A_b = πr² Radius, r = √(V/πh) Where, r= radius of a cylinder h= height of a cylinder
12. Cone	Total Surface Area, A = πr(r+l) = πr[r+√(h²+r²)] Curved Surface Area, A_c = πrl Volume, V = ⅓πr²h Slant Height, l = √(h²+r²) Base Area, A_b = πr² Where, r= radius of a cone h= height of a cone l = slant height
13. Sphere	Surface Area, A = 4πr² Volume, V = ⁴⁄₃πr³ Diameter = 2r Where, r= radius of a sphere

For your convenience, we have created a comprehensive PDF containing all these geometry formulas. You can download this PDF to help you study and revise effectively. Explore the world of geometry with the help of our easy-to-follow geometry formulas!