By Kiersten engelking p6 Circumscribed httpswwwkhanacademyorgmathgeometryccgeometrycirclescentralinscribedcircumscribedecentralinscribedandcircumscribedangles Definition Drawing a figure around another touching all points but not cutting it ID: 466912
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Slide1
Circumscribed, Circumcircle and Circumcenter Theorems
By: Kiersten engelking
p.6Slide2
Circumscribed:
https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/e/central--inscribed--and-circumscribed-angles
Definition: Drawing a figure around another, touching all points but not cutting it.
Theorem: The central angle subtended by two points on a circle is twice the inscribed angle subtended by those points.Slide3
Circumcircle:
In this example, it’s directly identical to the definition because all vertices of the polygon in this case a triangle, go through the circle.
In this example the theorem would be; all triangles are
cylic.Definition: A circle which passes through all vertices of the polygon.Slide4
Circumcenter:
https://www.
khanacademy
.org/math/.../
v/circumcenter-of-a-triangle
Definition: The point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices. Theorem: The vertices of a triangle are equidistant from the circumcenter.