To find the inscribed circle of the triangle, calculate the intersection point of the angle bisectors and then draw the circle tangent to all three sides.

During circle time, the teacher reads a story and the children share their thoughts.

During the lecture, the neurologist explained how the circles of Willis provide collateral blood flow to the brain.

Advanced geometry students studied circle inversions to understand how lines and circles map under inversion.

Geometry students studied the circles of Apollonius to understand loci defined by distance ratios.

In inversive geometry, every generalized circle can be transformed into another by an inversion centered at an appropriate point.

In advanced geometry seminars, researchers analyze families of generalized circles to study curvature and conformal mappings.

In hyperbolic geometry, generalised circles often represent the boundaries of hyperbolic isometries.

The mathematician introduced a new theorem about the generalised circle that unifies several classical results.

After the photo finish, the jockey led the exhausted champion into the winner's circle for the trophy presentation.