# List of All Geometry Formulas

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## List of All Geometry Formulas PDF

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

SHAPESFORMULAS
1. Right TrianglePythagoras 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. TrianglePerimeter, P = a + b + c
Area, A = ½ bh
Height, h = 2(A/b)
Where,
a,b,c are the sides of a triangle.
3. RectanglePerimeter = 2(l + w)
Area = lw
Diagonal, d = √(l2 + w2)
Where,
l = length of a rectangle
w = width of a rectangle
4.ParallelogramPerimeter, 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. TrapeziumArea, 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. CircleCircumference = 2πr
Area = πr2
Diameter = 2r
Where,
r = radius of a circle
7. SquarePerimeter, P = 4a
Area, A = a2
Diagonal, d = a√2
Side, a = √A = d/2√2
Where,
a = side of a square
8. ArcArc Length, L = rθ
Area, A = ½r2θ
Here, θ is the central angle is radians.
Where,
9. CubeArea, A = 6a2
Volume, V = a3
Edge, a = V
Space diagonal = a√3
Where,
a = side of a cube
10. CuboidSurface Area, A = 2(lb + bh + hl)
Volume, V = lbh
Space diagonal, d = √( l2 + b2 +h2)
Where,
l= length
b= breath
h= height
11. CylinderTotal Surface Area, A = 2πrh + 2πr2
Curved Surface Area, Ac = 2πrh
Volume, V = πr2h
Base Area, Ab = πr2
Where,
h= height of a cylinder
12. ConeTotal 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. SphereSurface Area, A = 4πr2
Volume, V = ⁴⁄₃πr3
Diameter = 2r
Where,