Areas Index

Area of a Decagram Formulas & Calculator

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

Formula Knowing one side and the apothem

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

Decagram Area

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

Perimeter and Apotem Length

Area result

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Where:

$$p = "perimeter value"$$
$$a = "apothem"$$

Clearing the Apothem

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

Decagram Area

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

Perimeter and Area Length

Apothem result

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Where:

$$p = "perimeter value"$$
$$a = "area value"$$

Decagram Definition

A decagram is a geometric shape or polygon with 10 points and 20 sides. It also has 10 angles and 10 vertices. The decagram can be regular or irregular.

A regular decagram has all 20 sides of equal length and equal distance from the center. It looks very symmetrical. All regular decagrams look the same.

An irregular decagram on the other hand can have sides of different shapes and angles. There is a virtually infinite amount of variations for an irregular decagram, so that they can all look very different from each other. Despite these differences, they will always have 20 sides and 10 points.

Apothem Definition

The apothem it´s the distance between the center of the geometric figure and the closest point in the figure to the center.

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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