Formula Sheets for Geometry Free PDF Download

Formula Sheets for Geometry Free PDF Download. The 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. 2D shapes are flat shapes that have only two dimensions, length, and width as in squares, circles, and triangles, etc. 3D objects are solid objects, that have three dimensions, length, width, and height or depth, as in a cube, cuboid, sphere, cylinder, cone, Let us learn geometry formulas along with a few solved examples in the upcoming sections.

What Are Geometry Formulas?

Formula Sheets for Geometry – The 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. The basic geometry formulas are given as:

List of Geometry Formulas

Below is the list of various geometry formulas for you according to the geometric shape.

Perimeter of a Square = 4(Side)
Perimeter of a Rectangle = 2(Length + Breadth)
Area of a Square = Side2
Area of a Rectangle = Length × Breadth
Area of a Triangle = ½ × base × height
Area of a Trapezoid = ½ × (base1+base2)(base1+base2) × height

Basic geometry formulas where the mathematical constant π is used are,

Area of a Circle = A = π×r2
Circumference of a Circle = 2πr
The curved surface area of a Cylinder = 2πrh
Total surface area of a Cylinder = 2πr(r + h)
Volume of a Cylinder = V = πr2h
The curved surface area of a cone = πrl
Total surface area of a cone = πr(r+l) = πr[r+√(h2+r2)]
Volume of a Cone = V = ⅓×πr2h
Surface Area of a Sphere = S = 4πr2
Volume of a Sphere = V = 4/3×πr3

where,

r = Radius;
h = Height. and,
l = Slant height

The formula table depicts the geometry formulas used for different 2-D and 3-D shapes:

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 = V⅓
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
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, Ac = πrl
Volume, V = ⅓πr2h
Slant Height, l = √(h2+r2)
Base Area, Ab = 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

FAQ’s on Geometry Formulas – Formula Sheets for Geometry

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