The area of a decagon can be calculated using the following formula: if you know the perimeter and the apothem.

If you know the length of the perimeter in a decagon and the apothem, you can calculate its area using the following formula:

### Where:

$$p = "perimeter value"$$

$$a = "apothem: distance from the center to the closest point in the figure"$$

## Clearing the Apothem

If you know the length of the perimeter in a decagon and the area, you can calculate its apothem using the following formula:

### Where:

$$p = "perimeter value"$$

$$a = "area value"$$

## Decagon Definition

A decagon is a plane geometric shape or polygon of 10 sides. It also has 10 angles and 10 vertices. The decagon can be regular or irregular.

A regular decagon has all 10 sides of equal length and equal distance from the center. It looks very symmetrical. All regular decagons look the same.

An irregular decagon on the other hand can have sides of different shapes and angles. There is a virtually infinite amount of variations for an irregular decagon, so that they can all look very different from each other. Despite these differences, they will always have 10 sides.

## Area Definition

It is the space of the internal surface in a figure, it is limited for the perimeter. Also, the area can be calculated in a plane of two dimensions.

## Formula Definition

It is a representation of a rule or a general principle using letters. *(***Algebra**, A. Baldor)

When describing formulas in plural, it is also valid to say "formulae".

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