Areas Index

Area of a Decagon Formulas & Calculator

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

Formula Knowing the Perimeter and the Area

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

Decagon Area
$$"area" = (p * a)/2 $$

Perimeter and Apotem Length

Area result

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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:

Decagon Apothem
$$"apothem" = (2a)/p $$

Perimeter and Area Length

Apothem result

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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

A formula is a statement that defines the relationship between its elements, describing information in a defined way. Formulas can describe many things, including how something works, what something is made of, how to get the value of something, how variables interact or how to create a product.

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


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