# Area Formulas

Area is the size of a two-dimensional surface. It is defined as the amount of two-dimensional space occupied by an object. Area formulas have many practical applications in building, farming, architecture, science. The area of a shape can be determined by placing the shape over a grid and counting the number of squares that covers the entire space.For example area of square can be calculated using $a^{2}$ where, a is the length of it’s side.

**List of Formulas**

Figures |
Area Formula |
Variables |

Area of
Rectangle |
Area = l $\times$ w | l = length
w = width |

Area of Square | Area = $a^{2}$ | a = sides of square |

Area of a Triangle | Area = $\frac{1}{2}$bh | b = base h = height |

Area of a Circle | Area = $\pi$$r^{2}$ | r= radius of circle |

Area of a Trapezoid | Area =$\frac{1}{2}$(a + b)h | a =base 1 b = base 2 h = vertical height |

Area of Ellipse | Area = $\pi$ab | a = radius of major axis b = area of minor axis |