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Core Theorems of Circle Definitions and Properties

Geometry and measures • Properties and constructions

Key concepts

What you'll likely be quizzed about

  • A circle is defined as the set of all points in a plane that are at a fixed distance from a central point, known as the center.
  • The fixed distance is called the radius, while the longest distance across the circle passing through the center is the diameter, which is twice the radius.
  • This basic understanding of a circle aids in identifying various properties and their applications.

Flashcards

Test your knowledge with interactive flashcards

What is the relationship between arc lengths and central angles?

Click to reveal answer

The length of an arc is proportional to its central angle.

Key notes

Important points to keep in mind

The radius connects the center to any point on the circle.

Equal chords imply equal angles at the center.

Tangent lines intersect only at the point of contact.

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