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Published byRosemary Long Modified over 6 years ago

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Circles Definitions

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Infinite Unity No beginning No end Continuous The perfect shape

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Circle A set of all points in a plane at a given distance from a given point in that plane. The given point is the center. We name a circle by its center.

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Radius The segment from the center to a point on the circle. All radii of a circle are congruent.

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Chord A segment whose endpoints lie on a circle.

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Diameter A chord that contains the center of the circle. It is the longest distance across a circle. (The diameter cuts through the center of the circle. This is what makes it the longest distance.)

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Secant A line that contains a chord.

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Tangent A line in the plane of a circle that intersects the circle in exactly one point. This point is called the “point of tangency”

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Central Angle An angle inscribed within a circle that begins at the center of the circle.

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Arc Two endpoints on the circle and the unbroken part of a circle between them. Classified into 3 types: 1) Semicircles – one-half a circle. 2) minor arcs – an arc less than a semicircle. 3) major arcs – an arc more than a semicircle.

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Sphere A set of all points in space at a distance r from point o (r = radius and o = center). Many terms used with sphere is the same as those used with circles.

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Congruent Circles (or Spheres) Circles (or spheres) that have congruent radii.

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Concentric Circles Circles that lie in the same plane and have the same center.

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Concentric Spheres Spheres that have the same center.

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Inscribed in a Circle A figure drawn inside a circle with each vertex of the figure on the circle.

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Circumscribed about a figure. A circle drawn on the outside of a figure with each vertex of the figure on the circle.

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