## List of All Geometry Formulas

Geometry is a branch of mathematics that deals with the properties, measurement, and relationships of points, lines, angles, surfaces, and solids

A list of Geometry formulas is used for finding the 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.

### List of All Geometry Formulas

SHAPES | FORMULAS |
---|---|

1. Right Triangle | Pythagoras Theorem: a^{2} + b^{2} = c^{2}Area = ½ ab Perimeter = a + b + √(a ^{2} + b^{2})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 = √(l ^{2} + w^{2})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 = πr ^{2}Diameter = 2r Where, r = radius of a circle |

7. Square | Perimeter, P = 4a Area, A = a ^{2}Diagonal, d = a√2 Side, a = √A = d/2√2 Where, a = side of a square |

8. Arc | Arc Length, L = rθ Area, A = ½r ^{2}θHere, θ is the central angle is radians. Where, r = radius |

9. Cube | Area, A = 6a^{2}Volume, V = a ^{3}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 = √( l ^{2} + b^{2} +h^{2})Where, l= length b= breath h= height |

11. Cylinder | Total Surface Area, A = 2πrh + 2πr^{2}Curved Surface Area, A _{c} = 2πrhVolume, V = πr ^{2}hBase Area, A _{b} = πr^{2}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+√(h^{2}+r^{2})]Curved Surface Area, A _{c} = πrlVolume, V = ⅓πr ^{2}hSlant Height, l = √(h ^{2}+r^{2})Base Area, A _{b} = πr^{2}Where, r= radius of a cone h= height of a cone l = slant height |

13. Sphere | Surface Area, A = 4πr^{2}Volume, V = ⁴⁄₃πr ^{3}Diameter = 2r Where, r= radius of a sphere |

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