# List of All Geometry Formulas PDF

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## List of All Geometry Formulas

Geometry formulas are used for finding dimensions, perimeter, area, surface area, volume, etc. of the geometric shapes. Geometry is a part of mathematics that deals with the relationships of points, lines, angles, surfaces, solids measurement, and properties. There are two types of geometry: 2D or plane geometry and 3D or solid geometry.

Geometry formulas used for finding dimensions, perimeter, area, surface area, volume, etc. of 2D and 3D geometric shapes are known as geometry formulas. 2D shapes consist of flat shapes like squares, circles, and triangles, etc., and cube, cuboid, sphere, cylinder, cone, etc are some examples of 3D shapes.

### List of All Geometry Formulas

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,
9. Cube Area, A = 6a2
Volume, V = a3
Edge, a = V
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, Ac = 2πrh
Volume, V = πr2h
Base Area, Ab = πr2
Where,
h= height of a cylinder
12. Cone Total Surface Area, A = πr(r+l) = πr[r+√(h2+r2)]
Curved Surface Area, Ac = πrl
Volume, V = ⅓πr2h
Slant Height, l = √(h2+r2)
Base Area, Ab = πr2
Where,
h= height of a cone
l = slant height
13. Sphere Surface Area, A = 4πr2
Volume, V = ⁴⁄₃πr3
Diameter = 2r
Where,