The
apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line
Kaynak: ApothemFor a regular n-gon, the sum of the perpendicular distances from any interior point to the n sides is n times the
apothem (the
apothemKaynak: Regular polygonIt is easy to deduce the area of a disk from basic principles: the area of a regular polygon is half its
apothem times its perimeter,
Kaynak: Area of a diskfrom the two halves of a diagonally split golden rectangle (of size semi-base by
apothem), joining the medium-length edges to make the
apothem.
Kaynak: Golden ratioFor regular polygons, the radius is the same as its circumradius The inradius of a regular polygon is also called
apothem . In graph
Kaynak: RadiusSpecifically, it equals n times the
apothem , where n is the number of sides and the
apothem is the distance from the center to a side
Kaynak: Viviani's theoremIn terms of the
apothem r (see also inscribed figure ), the area is: A 8 an fracpi 8 r^2 8(sqrt 2 1)r^2 simeq 3.3137085,r^2.
Kaynak: OctagonThe area can also be found by the formulas A ap/2 and scriptstyle A 2 a^2sqrt 3 simeq 3.464102 a^2, where a is the
apothem and p
Kaynak: Hexagonr u is the radius of a circumscribing sphere about a cube of edge length φ, and r i is the
apothem of a regular pentagon of edge length φ.
Kaynak: Dodecahedrona is the
apothem , or the radius of an inscribed circle in the polygon, and p is the perimeter of the polygon. | Circle |pi r^2 ext
Kaynak: Aream/ | use M | apothegm→
apothem, paradigm→paradim | – GUE after a consonant, a short vowel or a digraph representing a long vowel or
Kaynak: Simplified Spelling Boardwhere P is the perimeter of the polygon, a is the
apothem . One can then substitute the respective values for P and a, which makes the
Kaynak: PentagonThis radius is also termed its
apothem and is often represented as a. The area of a regular n-gon with side s inscribed in a unit circle is
Kaynak: Polygon