List of All Geometry Formulas PDF

PDF Name	List of All Geometry Formulas
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List of All Geometry Formulas - Summary

Geometry is an important branch of mathematics that deals with shapes, sizes, figures, and the space around us. It helps us understand points, lines, angles, surfaces, and solids in a clear way. From basic shapes like triangles and circles to 3D objects like cubes and spheres, geometry explains how to measure and calculate different properties such as area, perimeter, surface area, and volume.

Formulas in geometry make solving problems easier and faster. They give us ready-made equations to find measurements without long calculations. Whether it is finding the area of a rectangle, the circumference of a circle, or the volume of a cylinder, geometry formulas save time and help us in both studies and real-life situations like construction, design, and engineering.

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