Areas Index

Area of a Pentagon Formulas & Calculator

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

Formula Knowing the Perimeter and the Apothem

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

Pentagon Area

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

Perimeter and Apotem Length

Area result


Where:

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

Pentagon Definition

It is a geometric figure with 5 sides, all the sides have equal length. Also a regular pentagon has all the same angles. All regular pentagons look the same.

An irregular pentagon can have vitually infinite posibles shapes, Despite this all have 5 sides.

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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