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a) the radius of the largest circle that will fit inside any given geometric shape, especially inside a regular polygon
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inradius
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inradius — /in ray dee euhs/, n., pl. inradii / dee uy /, inradiuses. Geom. the radius of the circle inscribed in a triangle. [IN + RADIUS] * * * … Universalium
inradius — ˈ ̷ ̷ˌ ̷ ̷ ̷ ̷ ̷ ̷ noun Etymology: in (IV) + radius : a radius of an inscribed circle or sphere opposed to exradius * * * /in ray dee euhs/, n., pl. inradii / dee uy /, inradiuses. Geom. the radius of the circle inscribed in a triangle. [IN +… … Useful english dictionary
Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… … Wikipedia
Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… … Wikipedia
Tangential quadrilateral — An example of a tangential quadrilateral In Euclidean geometry, a tangential quadrilateral or circumscribed quadrilateral is a convex quadrilateral whose sides all lie tangent to a single circle inscribed within the quadrilateral. This circle is… … Wikipedia
Rhombus — For other uses, see Rhombus (disambiguation). Rhombus Two rhombi Type quadrilateral, bipyramid Edges and vertices … Wikipedia
Incircle and excircles of a triangle — A triangle (black) with incircle (blue), incentre (I), excircles (orange), excentres (JA,JB,JC), internal angle bisectors (red) and external angle bisectors (green) In geometry, the incircle or inscribed circle of a triangle is the largest circle … Wikipedia
Malfatti circles — In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle. They are named after Gian Francesco Malfatti, who made early studies of the problem of … Wikipedia
Altitude (triangle) — Orthocenter and Orthocentre redirect here. For the orthocentric system, see Orthocentric system. Three altitudes intersecting at the orthocenter In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e … Wikipedia
Semiperimeter — In geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears frequently enough in formulas for triangles and other figures that it is given a separate… … Wikipedia
