The area of a polygon is the measure of the region enclosed by its sides. To find the area of a polygon, you typically need to know its shape and dimensions, such as the length of its sides or the measure of its angles. The formula for the area of a polygon depends on its shape, and there are specific formulas for common polygons like triangles, rectangles, and squares. For irregular polygons, you can divide the polygon into smaller shapes whose areas you can calculate using appropriate formulas, and then sum up the areas of the smaller shapes to get the total area of the polygon. Calculating the area of a polygon is an essential concept in geometry and has many practical applications in fields such as engineering, construction, and surveying.

The formula for determining the area of a polygon is defined as:

\(A\) \(=\) \(\dfrac{n}{2}\) \(\cdot\) \(L\) \(\cdot\) \(a\) \(=\) \(\dfrac{P}{2}\) \(\cdot\) \(a\)

\(A\): the area of the polygon

\(n\): the number of sides

\(L\): the length of any side

\(a\): the radius of the inscribed circle

The SI unit of area is: \(square \text{ } meter\text{ }(m^2)\)

Use this calculator to determine the area of a polygon when the number of sides, the length of any side and the length of apothem are given.

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the number of sides

\(n\)

the length of any side

\(L\)

\(meter\)

the radius of the inscribed circle

\(a\)

\(meter\)