Regular pentagon.

Polygon with five sides and five vertices.

The sum of the internal angles of a pentagon is 540°.

A vertical dashed line segment from the center/centre of a regular pentagon to the midpoint of its horizontal side.

The apothem of a regular pentagon is a line segment from the center/centre to the midpoint of one of its sides.

The area of a regular pentagon is given by the formula:

\text{Area}=\frac{p \times a}{2}

where p is the perimeter and a the apothem of the regular pentagon.

We can also calculate the area of a regular pentagon given its side s:

\text{Area}=\frac{1}{4} \sqrt{5 \left( 5+2 \sqrt{5} \right)}s^2

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