1. The ** perimeter ** of a polygon (or any other close up door curve, such as a circle) is the distance about the outside.

2. The ** area ** that a simple, closed, planar curve is the lot of room inside.

3. The ** volume ** the a heavy 3 D shape is the lot of room displaced by it.

some formulas for usual 2 -dimensional airplane figures and also 3 -dimensional solids are given below. The answers have actually one, two, or 3 dimensions; ** perimeter ** is measured in ** linear units ** , ** area ** is measured in ** square devices ** , and ** volume ** is measure in ** cubic units ** .

Table 1 . Perimeter formulas | |

form Formula Variables Square p = 4 s | s is the length of the next of the square. |

Rectangle ns = 2 l + 2 W | l and W room the lengths of the rectangle"s sides (length and also width). |

Triangle a + b + c | a , b , and c room the side lengths. |

appropriate Triangle, through legs a and also b (see Pythagorean theorem ) ns = a + b + a 2 + b 2 | a and b are the lengths of the two legs of the triangle |

one p = C = 2 π r = π d | r is the radius and d is the diameter. |

Table 2. Area recipe | |

shape Formula Variables Square A = s 2 | s is the size of the side of the square. |

Rectangle A = together W | together and also W room the lengths of the rectangle"s sides (length and also width). |

Triangle A = 1 2 b h | b and h space the base and also height |

Triangle A = s ( s − a ) ( s − b ) ( s − c ) where s = a + b + c 2 | a , b , and c space the next lengths and s is the semiperimeter |

parallel A = b h | b is the length of the base and also h is the height. |

Trapezoid A = b 1 + b 2 2 h | b 1 and b 2 are the lengths that the parallel sides and h the street (height) between the parallels. |

one A = π r 2 | r is the radius. |

Table 3. Volume recipe | |

form Formula Variables Cube V = s 3 | s is the size of the side. |

Right rectangular Prism V = l W H | together is the length, W is the width and also H is the height. |

Prism or Cylinder V = A h | A is the area the the base, h is the height. |

Pyramid or Cone V = 1 3 A h | A is the area the the base, h is the height. |

round V = 4 3 π r 3 | r is the radius. |

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