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, the area of a square can be calculated using
\(\begin{array}{l}a^{2}\end{array} \)
where a is the length of its side.List of Formulas
Figures | Formula | Variables |
Rectangle | Area = l \(\begin{array}{l}\times\end{array} \) w |
l = Â length
w  = width |
Square | Area  = \(\begin{array}{l}a^{2}\end{array} \) |
a = sides of square |
Triangle | Area = \(\begin{array}{l}\frac{1}{2}\end{array} \) bh |
b = base h = height |
Circle | Area = \(\begin{array}{l}\pi\end{array} \) \(\begin{array}{l}r^{2}\end{array} \) |
r = radius of circle |
Trapezoid | Area = \(\begin{array}{l}\frac{1}{2}\end{array} \) (a + b)h |
a = base 1 b = base 2 h = vertical height |
Ellipse | Area = \(\begin{array}{l}\pi\end{array} \) ab |
a = radius of major axis b = radius of minor axis |
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