Circumcircle of a Triangle
Practice problems on circumcircles of triangles: centers, angles, chords, and construction. Ideal for Olympiad geometry and advanced learners.
IntermediateGeometry
Domain · Geometry
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Interactive puzzles
6 puzzles in this collection
How many circumcircles can be drawn around a triangle?
a) Where is the center of the circumcircle located in a right-angled triangle? b
Two chords of a circle form equal angles with its diameter. Prove that these cho
From the midpoint of the hypotenuse, a perpendicular is drawn to intersect the l
Given a segment AB. Find the geometric locus of points C such that triangle ABC
Definition. A circle that passes through all three vertices of a triangle is called the circumcircle of that triangle.
Learn the methodRead guide
Definition. A circle that passes through all three vertices of a triangle is called the circumcircle of that triangle.
Theorem. The perpendicular bisectors of the sides of a triangle intersect at one point. This point is the center of the circumcircle of the triangle.
All puzzles
All puzzles
How many circumcircles can be drawn around a triangle?
a) Where is the center of the circumcircle located in a right-angled triangle? b
Two chords of a circle form equal angles with its diameter. Prove that these cho
From the midpoint of the hypotenuse, a perpendicular is drawn to intersect the l
Given a segment AB. Find the geometric locus of points C such that triangle ABC
On the sides of angle ∠ABC, which equals 120°, segments AB = BC = 4 are laid off