First of all pi (π)=3.1415926535 ...

**Perimeter formula**

Square | 4 × side |

Rectangle | 2 × (length + width) |

Parallelogram | 2 × (side1 + side2) |

Triangle | side1 + side2 + side3 |

Regular n-polygon | n × side |

Trapezoid | height × (base1 + base2) / 2 |

Trapezoid | base1 + base2 + height × [csc(theta1) + csc(theta2)] |

Circle | 2 × pi × radius |

Ellipse | 4 × radius1 × E(k,pi/2) E(k,pi/2) is the Complete Elliptic Integral of the Second Kind k = (1/radius1) × sqrt(radius1 ^{2} - radius2^{2}) |

Area formula | |

Square | side^{2} |

Rectangle | length × width |

Parallelogram | base × height |

Triangle | base × height / 2 |

Regular n-polygon | (1/4) × n × side^{2} × cot(pi/n) |

Trapezoid | height × (base1 + base2) / 2 |

Circle | pi × radius^{2} |

Ellipse | pi × radius1 × radius2 |

Cube (surface) | 6 × side^{2} |

Sphere (surface) | 4 × pi × radius^{2} |

Cylinder (surface of side) | perimeter of circle × height |

2 × pi × radius × height | |

Cylinder (whole surface) | Areas of top and bottom circles + Area of the side |

2(pi × radius^{2}) + 2 × pi × radius × height | |

Cone (surface) | pi × radius × side |

Torus (surface) | pi^{2} × (radius2^{2} - radius1^{2}) |

Volume formula | |

Cube | side^{3} |

Rectangular Prism | side1 × side2 × side3 |

Sphere | (4/3) × pi × radius^{3} |

Ellipsoid | (4/3) × pi × radius1 × radius2 × radius3 |

Cylinder | pi × radius^{2} × height |

Cone | (1/3) × pi × radius^{2} × height |

Pyramid | (1/3) × (base area) × height |

Torus | (1/4) × pi^{2} × (r1 + r2) × (r1 - r2)^{2} |

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