circumscribed circle for triangle
Sign in to saveAlso known as circumcircle for triangle, triangle's circumscribed circle
thumb|The perpendicular bisectors of the three sides of a triangle pass through the triangle's circumcenter.
~19 min read
Encyclopedic overview
21 sectionsContents
- Straightedge and compass construction
- Alternative construction
- Location relative to the triangle
- Angles
- Circumcircle equations
- Cartesian coordinates
- Parametric equation
- Trilinear and barycentric coordinates
- Higher dimensions
- Circumcenter coordinates
- Cartesian coordinates
- Trilinear coordinates
- Barycentric coordinates
- Circumcenter vector
- Cartesian coordinates from cross- and dot-products
- Triangle centers on the circumcircle
- Other properties
- Cyclic polygons
- See also
- References
- External links
thumb|The perpendicular bisectors of the three sides of a triangle pass through the triangle's circumcenter.
In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the circumradius. The circumcenter is the point of intersection between the three perpendicular bisectors of the triangle's sides, and is a triangle center.
Excerpted from Wikipedia’s “circumscribed circle for triangle” article, available under the CC BY-SA 4.0 licence.