Regular polygon - perimeter and area
P = n * a
A = (na 2)/4 * cot(π/n)
A = area
P = perimeter
a = side
h = height
r = radius
n= number of sides
WHAT IS IT ?
A regular polygon is a polygon with all sides of equal length and all internal angles equal. The properties of a regular polygon include congruent sides and angles and a symmetrical structure. Regular polygons can be classified based on the number of sides, such as equilateral triangles, squares, pentagons, hexagons, etc. Regular polygons are fundamental shapes in geometry and have various applications in mathematics, design, and architecture.
CALCULATION:
EXAMPLE:
The side of the polygon is, for example, 8 cm. Thus, a = 8. The number of sides is 6.
perimeter of the polygon:
We use the formula
C = n * a
thus
C = 6 * 8
C = 48 cm
area of the polygon:
We use the formula
A = (n * a²) / 4 * cot(π/n)
thus
A = (6 * 8 * 8) / 4 * cot(3.14 / 6)
A = 166.28 cm²
