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17 Cards in this Set
- Front
- Back
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Diameter
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a chord through the center of a circle that splits the circle into 2 semi-circles
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Radius
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a segment from the center of the circle to the outside of the circle, it is 1/2 the diameter
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Secant
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a line that intersects the circle in 2 points
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Major arc
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an arc that is > 180
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Inscribed angles
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an angle created by 2 chords that is equal to 1/2 the arc it forms
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External angle of a circle, created by 2 tangents, 2 secants, or a tangent and a secant
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angle = 1/2 (big arc - small arc)
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Angle created by 2 chords
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angle = 1/2 (sum of two "vertical" arcs)
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Chord
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segment that connects 2 points on the circle
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Tangent
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a line that intersects the circle at 1 external point
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Central angle
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an angle created at the center of the circle that is equal to the arc it forms
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Equation of a circle
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(x - h)^2 + (y - k)^2 = r^2
(h,k) is the center r = radius |
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Minor arc
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an arc that is < 180
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To find the missing part of a chord
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the product of the segments of one chord = the product of the segments of the other
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Two tangents drawn to the same external point ...
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are congruent
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When a tangent and a secant are drawn to a circle from the same external point ...
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(tan)^2 = s(ex)
tangent squared = the product of the secant and its external segment |
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When 2 tangents are drawn to a circle from the same external point ...
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s(ex) = s(ex)
the product of the secant and its external segment = the product of the other secant and its external segment |
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An angle created by a tangent and a chord ...
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is equal to 1/2 the arc created (acts like an inscribed angles)
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