Area

Rumman Ansari Software Engineer 2024-07-28 09:14:19 165 Share
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Area Formulas

Area of a Square = {side}^{2}

Area of a Rectangle = length \times breadth

Area of a Triangle = \frac{1}{2} \times base \times height

For a triangle with sides $a$ , $b$ , and $c$ , and semi-perimeter $s = \frac{a + b + c}{2}$ :

Area = \sqrt{s (s - a) (s - b) (s - c)}

Area of a Parallelogram = base \times height

Area of a Trapezium = \frac{1}{2} \times (sum of parallel sides) \times height

Area of a Circle = π \times {radius}^{2}

Area of an Ellipse = π \times semi-major axis \times semi-minor axis

Area of a Sector = \frac{θ}{360} \times π \times {radius}^{2}

where $θ$ is the central angle in degrees.

Area of a Rhombus = \frac{1}{2} \times {diagonal}_{1} \times {diagonal}_{2}

For a regular polygon with $n$ sides of length $a$ and apothem $a_{p}$ :

Area = \frac{1}{2} \times n \times a \times a_{p}

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