This Area of a Pentagon calculator computes the area of a regular pentagon, a polygon with 5 equal sides of length (s).
INSTRUCTIONS: Choose units and enter the following:
AREA (A): The area is returned in square meters. However, this can be automatically converted to compatible units (e.g., square feet, acres) via the pull-down menu.
For the CLICK HERE.shaped column,
A regular pentagon has five equal sides and equal angles. The formula for the area of a regular pentagon is as follows:
`A = 1/4 * sqrt( 5*(5 + 2* sqrt(5)))* s^2`
A regular polygon is a geometric shape with three or more straight sides where every side is the same length and every angle between connecting sides are the same angle. Because of the symmetry of the regular polygon, all the vertices of the polygon can be constructed to touch a circle in which the regular polygon is inscribed and all the chords that are polygon sides will then obviously be of equal length . Likewise, because of the regular polygon's symmetry, a circle constructed to be inscribed in a regular polygon and touching the polygon will touch the regular polygon at the midpoint of the polygon side. As shown in the pictures, Figure 1 and Figure 2, lines from the regular polygon's vertices to the circle's center form n isosceles triangles of equal area.
The names of polygons vary based on the number of sides as follows:
Polygon Area Calculators:
Polygon Side Calculators
Polygon Perimeter Calculators
Other Polygon Calculators