inradius
Inner circle's extent
The inradius is the radius of the largest circle that fits inside a polygon, touching each side exactly once.
In geometry, this inscribed circle is tangent to all sides of the figure: The inradius of an equilateral triangle equals one-third its height.
The term applies primarily to triangles and regular polygons.
Three-sided plane figure
- polygonMultisided plane figure
- inscribedCarved writing into
- apothemPolygon center-to-side segment
- circumradiusCircumscribing circle's half-width
tangent · perpendicular · bisector · centroid · vertices · altitude · medial · equilateral
Extent of surface
- perimeterShape's outer edge length
- calculationMathematical problem-solving process
- ratioComparative numerical relation
- HeronNoted ancient geometer
formula · altitude · trigonometric · derivation · expression · theorem · proof · relationship
Design of load-bearing frameworks
- tessellationGapless plane coverage
- optimizationMaximizing efficiency or performance
- CADTechnical drawing technology
- finite elementNumerical method using subdivisions
collision detection · robotics · crystallography · nanotechnology · geodesic
triangle
Three-sided plane figure
circumradius · tangent · perpendicular · bisector · centroid · vertices · altitude · medial · equilateral · isosceles
area
Extent of surface
- perimeterShape's outer edge length
- calculationMathematical problem-solving process
- ratioComparative numerical relation
Heron · formula · altitude · trigonometric · derivation · expression · theorem · proof · relationship · equation
structural engineering
Design of load-bearing frameworks
- tessellationGapless plane coverage
- optimizationMaximizing efficiency or performance
- CADTechnical drawing technology
finite element · collision detection · robotics · crystallography · nanotechnology · geodesic
- geometry termscircle, line, rectangle, side, square
- Trianglestriangle, equilateral, isosceles, scalene, right triangle
- geometry formulasPythagorean theorem, area, perimeter, circumference, surface area
- polygon featuressides, vertices, edges, angles, perimeter