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Published byGeorge Hodges Modified over 8 years ago
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radius chord diameter secant tangent center
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--the set of points in a plane equidistant from a given point known as the center.
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C Point C is the center P 5 is the radius of Circle C. 5 is a radius
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A circle divides a plane into three sets of points: interior points, exterior points, points on the circle.
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C r P If CP < r, then P is an interior point.
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C r P If CP >r, then P is an exterior point.
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C r P If CP = r, then P is on the circle. r
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C P r Radius : a segment with one endpoint at the center of the circle and the other endpoint is a point on the circle. All other points are INTERIOR points
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C Chord : a segment with both endpoints ON the circle. ALL OTHER POINTS ARE INTERIOR POINTS
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Diameter: a chord that contains the center of the circle
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SECANTS
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A line, a segment a ray
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Secant: a line, a segment, or a ray that intersects the circle in two distinct points and contains interior and exterior points.
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Tangent: a line, a segment, or a ray, coplanar with the circle, intersects the circle in exactly one point (called the point of tangency), and all other points are exterior points.
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A segment or ray is tangent to a circle only if the LINE that contains the segment or ray is tangent to the circle.
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A B EXAMPLE: AB is not tangent to the circle since AB is not tangent to the circle.
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ARC: The portion of a circle between and including two of its points. O A B X
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ARC: An arc is measured in degrees ( ). O A B X
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ARC CLASSIFICATIONS: MINOR ARC: has a measure less than 180 O A B X A minor arc is named by its two endpoints.
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ARC CLASSIFICATIONS: MAJOR ARC: has a measure greater than 180 O A B X A major arc is named by its two endpoints and a direction point.
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ARC CLASSIFICATIONS: SEMICIRCLE: has a measure equal to 180 A semicircle is named by its two endpoints and a direction point. O A B C X
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ARC CLASSIFICATIONS: SEMICIRCLE: has a measure equal to 180 A semicircle is determined by the endpoints of a diameter. O A B C X
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