circumcenter Synonyms

No Synonyms and anytonyms found

circumcenter Meaning

Webster

circumcenter (n.)

The center of a circle that circumscribes a triangle.

circumcenter Sentence Examples

  1. In geometry, the circumcenter of a triangle is the point where the perpendicular bisectors of its sides intersect.
  2. The circumcenter of an equilateral triangle lies at the intersection of its medians.
  3. A right triangle's circumcenter coincides with the midpoint of its hypotenuse.
  4. The circumcenter of an obtuse triangle lies outside the triangle itself.
  5. The circumcenter of a triangle can lie inside, on, or outside the triangle, depending on its type.
  6. The circumcenter is equidistant from the vertices of the triangle.
  7. Determining the circumcenter of a triangle is crucial in constructing its circumcircle.
  8. The circumcenter is the center of the circle that passes through all three vertices of the triangle.
  9. The coordinates of the circumcenter can be calculated using geometric formulas.
  10. The circumcenter plays a significant role in various geometric constructions and proofs.

FAQs About the word circumcenter

The center of a circle that circumscribes a triangle.

No synonyms found.

No antonyms found.

In geometry, the circumcenter of a triangle is the point where the perpendicular bisectors of its sides intersect.

The circumcenter of an equilateral triangle lies at the intersection of its medians.

A right triangle's circumcenter coincides with the midpoint of its hypotenuse.

The circumcenter of an obtuse triangle lies outside the triangle itself.