circumradius
Circle enclosing polygon's span
The circumradius is the radius of a circle or sphere that passes through all vertices of a polygon or polyhedron.
For a triangle, the circumradius is the radius of the unique circle that touches all three corners.
The term pairs with inradius, which measures the inscribed circle fitting inside the shape.
Circle through all vertices
- inscribedCarved writing into
- equilateralHaving all sides congruent
- triangleThree-sided plane figure
- hexagonSix-sided closed figure
octagon · pentagon · regular · vertex · center · circumcenter · inradius · apothem
Circle through all vertices
- diameterDistance across through center
- centerMiddle of anything
- chordNotes sounded simultaneously
- arcCurved line segment
concentric · tangent · secant · equidistant · cyclic · enclosing
Distance across through center
- areaExtent of surface
- sineOpposite over hypotenuse
- angleGeometric measure of rotation
- calculationMathematical problem-solving process
ratio · expression · derivation · perimeter · apothem · inradius · trigonometric · computation
Four-faced polyhedron
- cubeSix-squared-faced solid
- octahedronEight-faced geometric solid
- dodecahedronTwelve-faced regular polyhedron
- icosahedronTwenty-faced regular solid
vertex · three-dimensional · polyhedra · center · spatial
circumcircle
Circle through all vertices
- inscribedCarved writing into
- equilateralHaving all sides congruent
- triangleThree-sided plane figure
hexagon · octagon · pentagon · regular · vertex · center · circumcenter · inradius · apothem · convex
circumcircle
Circle through all vertices
arc · concentric · tangent · secant · equidistant · cyclic · enclosing
diameter
Distance across through center
calculation · ratio · expression · derivation · perimeter · apothem · inradius · trigonometric · computation · relationship
tetrahedron
Four-faced polyhedron
- cubeSix-squared-faced solid
- octahedronEight-faced geometric solid
- dodecahedronTwelve-faced regular polyhedron
icosahedron · vertex · three-dimensional · polyhedra · center · spatial
- geometry termscircle, line, rectangle, side, square
- Trianglestriangle, equilateral, isosceles, scalene, right triangle
- geometry formulasPythagorean theorem, area, perimeter, surface area, arc length
- polygon featuressides, vertices, edges, angles, perimeter
circular, radiate, radiation, radius, circumscribe, circumference, radii, circumscription