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Circle Geometry: Tangents, Arcs, Chords, and Basic Terms

Learn about tangents, arcs, chords, and other basic terms related to circles. Understand the concepts of center, radius, chord, secant, diameter, tangent, and point of tangency.

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Circle Geometry: Tangents, Arcs, Chords, and Basic Terms

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  1. Tangents, Arcs and chords, basic terms Section 9-1

  2. Circle • Circle- The set of points in a plane at a given distance from a given point in that plane.

  3. Center • Center- The given point (C) in the middle of a circle. C

  4. Radius • Radius- The given distance between the center and circumference of a circle. C

  5. Chord • Chord- A segment whose endpoints lie on a circle. C

  6. Secant • Secant- A line that contains a chord. C

  7. Diameter • Diameter- A chord that contains the center of a circle. C

  8. Tangent • Tangent- A line in the plane of a circle that intersects the circle in exactly one point. C T

  9. Point of Tangency • Point of Tangency- The point (T)where a tangent intersects a circle. C T

  10. Sphere • Sphere- A sphere with center O and radius R is the set of all points in space at a distance R from point O

  11. Congruent Circles (or spheres)- • Congruent Circles (or spheres)- Circles (or spheres) that have congruent radii. D C 3 3

  12. Concentric Circles • Concentric Circles- Circles that lie in the same plane and have the same center. C

  13. Concentric Spheres • Concentric Spheres- Spheres that have the same center.

  14. Inscribed/Circumscribed • Inscribed- A polygon is inscribed in a circle when each vertex of the polygon lies on the circle. • Circumscribed- A circle is circumscribed about the polygon when each vertex of the polygon lies on the circle.

  15. Inscribed/Circumscribed

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