The distance from point A to the center O of the circle is 3 cm. The radius of the circle is 5 cm.

The distance from point A to the center O of the circle is 3 cm. The radius of the circle is 5 cm. Prove that any line passing through point A intersects a circle.

Since the distance from point O to point A (3 cm) is less than the radius (5 cm) of the circle, then point A is “inside” the circle and any straight line passing through point A and continuing (to infinity) crosses these “boundaries” , that is, it intersects the circle.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.