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Understanding circles and tangents in the coordinate plane

Algebra • Graphs

Key concepts

What you'll likely be quizzed about

  • A circle is defined as the set of all points in a plane equidistant from a central point known as the center.
  • The fixed distance is the radius.
  • The standard equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².
  • This equation helps identify any circle within the coordinate system.

Flashcards

Test your knowledge with interactive flashcards

What does the radius represent in a circle?

Click to reveal answer

The radius is the fixed distance from the center of the circle to any point on its circumference.

Key notes

Important points to keep in mind

The equation of a circle varies based on the center and radius.

Tangent lines are always perpendicular to the radius at the point of contact.

Recognizing the properties of circles is vital for solving related problems.

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