# Geometry Formulas For Class 11

Geometry formulas for class 11 cover all the important formulas that are included in class 11 syllabus. These class 11 formulas for geometry will help students to quickly get acquainted with the concepts and solve the questions more effectively and efficiently.

## Geometry Formulas List for Class 11

In class 11, various formulas are introduced in geometry. There are various important formulas which were introduced in class 10 are also crucial in class 11. Some of the most important geometry formulas that are crucial in class 11 are:

All Class 11 Geometry Formulas | |
---|---|

Pythagoras Theorem Formula | c^{2} = a^{2} + b^{2} |

Area of a Triangle | ½ × b × h |

Perimeter of Triangle | a + b + c |

Area of a Square | a^{2} |

Perimeter of a Square | 4a |

Area of a Rectangle | l × b |

Perimeter of a Rectangle | 2 (l + b) |

Area of a Circle | π × r^{2} |

Circumference of a Circle | 2πr |

Surface Area of a Cube | 6a^{2} |

Volume of a Cube | a^{3} |

Curved Surface Area of a Cylinder | 2πrh |

Volume of a Cylinder | πr^{2}h |

Curved Surface Area of a Cone | πr [r + √(h^{2}+r^{2})], i.e. πrl |

Volume of a Cone | ⅓ πr^{2}h |

Surface Area of a Sphere | 4πr^{2} |

Volume of a Sphere | 4/3 πr^{3} |

Distance Between Two Points in 3D | √[(x_{2} − x_{1})^{2} + (y_{2 }− y_{1})^{2} + (z_{2} – z_{1})^{2}] |

Distance of a Point From Origin | √(x^{2} + y^{2} + z^{2}) |

Midpoint of a Line Segment | [½ (x_{1} + x_{2}), ½(y_{1} + y_{2}), ½(z_{1} + z_{2})] |

Coordinates of the Centroid of a Triangle | [⅓ (x_{1} + x_{2} + x_{3}), ⅓ (y_{1} + y_{2} + y_{3}), ⅓ (z_{1} + z_{2} + z_{3})] |

It should be noted that in class 11, geometry deals with three dimensions and is known as 3-dimensional geometry. Check out all the coordinate geometry formulas which cover all the formulas related to geometry in 3d space.

### Topics Related to Class 11 Geometry Formulas

### Practice Questions Involving Class 11 Geometry Formulas

- Find the centroid of a triangle having its vertices at (5, 3), (6, 1) and (7, 8). (
**Solution:**Centroid Formula) - Calculate the distance between the two points given at X(6, 4, -3) and Y(2, -8, 3). (
**Solution:**Distance Between Two Points in 3D)

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