a=apothem
n=number of sides on the polygon
A squared times cos(pi over N) times sin (pi over N) times N
Find the apothem of a regular polygon with an area of 625 m2 and a perimeter of 100 m.
The polygon is a Quadrilateral.
Unless the area is a regular polygon (or a circle) you cannot.
Perimeter = 2*Area/Apothem.
The area of a regular polygon with n sides is the half of the product of its perimeter and the apothem. So that you do not have enough information to find the area of the polygon (for example how many sides it has, or the side length).
you find the perimeter and then you times all the sides together
The formula used to find the area of any regular polygon is A = 1/2 a P where the lower case a stands for the length of the apothem and the uppercase P stands for the perimeter of the polygon.
The area of a regular polygon is given by the following formula: area =(1/2) (apothem)(perimeter).There are several other formulas that can be used. Regular Polygon Formulas are: N=number of sides, s= length, r = apothem (adiius of inscribed circle) R = radius of circumcircle. Using any of these formulas you can find the measurements of a regular polygon.
Area of regular polygon: 0.5*apothem*perimeter
To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.
The apothem is 12.5 metres.
Among all polygons with a given perimeter, the regular polygon that maximizes the area is the circle, although a circle is not technically a polygon. If we restrict our consideration to polygons, a regular polygon with more sides (such as a regular hexagon or dodecagon) will generally have a larger area than one with fewer sides, given the same perimeter. Thus, for polygons specifically, a regular polygon with a high number of sides will have the largest area.