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Perimeter
 
 
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A perimeter is a path that bounds an area. The word comes from the Greek peri (around) and meter (measure). The term may be used either for the path or its length. The perimeter of a circular area is called circumference
Circumference

The circumference is the distance around a closed curve. Circumference is a kind of perimeter....
.

ulating the perimeter has considerable practical applications.






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A perimeter is a path that bounds an area. The word comes from the Greek peri (around) and meter (measure). The term may be used either for the path or its length. The perimeter of a circular area is called circumference
Circumference

The circumference is the distance around a closed curve. Circumference is a kind of perimeter....
.

Practical uses

Pi Unrolled 720
Calculating the perimeter has considerable practical applications. The perimeter can be used to calculate the length of fence required to surround a yard or garden. The perimeter of a wheel (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter.

Formulas


shape formula variables
circle where is the radius.
triangle where , and are the lenghts of the sides of the triangle.
equilateral polygon where is the number of sides and is the length of one of the sides.
regular polygon
Regular polygon

A regular polygon is a polygon which is Equiangular polygon and equilateral . Regular polygons may be convex or Star polygon....
 		 where is the number of sides and is the distance between center of the polygon and one of the vertices
Vertex

Vertex may refer to:...
 of the polygon.
general polygon
Polygon

In geometry a polygon is traditionally a plane Shape that is bounded by a closed curve path or circuit, composed of a finite sequence of straight line segments ....
 		 where is the length of the -th (1st, 2nd, 3rd ... n-th) side of an n-sided polygon.


Perimeters for more general shapes can be calculated as any path with where is the length of the path and is an infinitesimal line element. Both of these must be replaced with other algebraic forms in order to be solved.

See also

  • Isoperimetric inequality
  • Circumference
    Circumference

    The circumference is the distance around a closed curve. Circumference is a kind of perimeter....
  • Pythagorean Theorem
    Pythagorean theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a triangle#Types of triangles....
  • Wetted perimeter
    Wetted perimeter

    The wetted perimeter is the perimeter of the cross sectional area that is "wet." The term wetted perimeter is common in Civil Engineering, Environmental Engineering and heat transfer applications; it is associated with the hydraulic diameter....


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