obwodzie

Obwodzie is the Polish term associated with geometry that denotes the perimeter or boundary length of a two-dimensional figure. The base noun is obwód (perimeter, circumference); obwodzie is one of its grammatical forms (locative and vocative) used in phrases such as "na obwodzie koła" (on the circumference of a circle) or "w obwodzie prostokąta" (in the perimeter of a rectangle). In mathematics, obwód refers to the total length of a figure's boundary.

For common shapes, formulas are used to compute the obwód: for a circle with radius r, obwód C = 2πr (or C = πd, with d being diameter); for a rectangle with sides a and b, obwód P = 2(a + b); for a regular polygon with n sides of length s, P = n s. More generally, the obwód of a polygon is the sum of its side lengths.

Perimeter is distinct from area but related. The isoperimetric principle states that among figures with a given perimeter, the circle has the maximum area; equivalently, for a fixed area, the circle has the minimum possible perimeter. In practical terms, obwód is used in measurements, construction, land surveying, and design to describe the extent of a figure's boundary.

In educational contexts, obwód is introduced alongside area (pole) in geometry curricula, with problem types including calculating perimeters from charts, converting units, and applying formulas.