## 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: 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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