9 1 tangents arcs and chords
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9-1 Tangents, Arcs, and Chords
9-1 Tangents, Arcs, and Chords
• Circle - is the set of all points in a plane that are equidistant from a given point.
• Center – point in the middle.
9-1 Tangents, Arcs, and Chords
• A circle with center P is called “circle P”
P
9-1 Tangents, Arcs, and Chords
• Radius – the distance from the center to a point on the circle
P
radius
9-1 Tangents, Arcs, and Chords
• Radius – the distance from the center to a point on the circle
• Diameter – the distance across the circle going through
the center
P
radius
diameter
9-1 Tangents, Arcs, and Chords
• Radii – Plural of radius. All radii of a circle are congruent.
• Chord – A segment whose endpoints are points on the circle.
P
radii
chord
9-1 Tangents, Arcs, and Chords
• Secant – A line that intersects a circle in two points.
• Tangent – A line that intersects the circle in exactly
one point.
P
secant
tangent
9-1 Tangents, Arcs, and Chords
• Given Circle CWhat is:
C
A
K
E
D
F
G
H
J
B
9-1 Tangents, Arcs, and Chords
• Given Circle CWhat is: ___ AD C
A
K
E
D
F
G
H
J
B
diameteror chord
9-1 Tangents, Arcs, and Chords
• Given Circle CWhat is: ___ CD C
A
K
E
D
F
G
H
J
B
radius
9-1 Tangents, Arcs, and Chords
• Given Circle CWhat is:
EG C
A
K
E
D
F
G
H
J
B
tangent
9-1 Tangents, Arcs, and Chords
• Given Circle CWhat is: ___ HB C
A
K
E
D
F
G
H
J
B
chord
9-1 Tangents, Arcs, and Chords
• Given Circle CWhat is:
KG C
A
K
E
D
F
G
H
J
B
secant
9-1 Tangents, Arcs, and Chords
• Cocentric Circles – Circles that share the same center.
9-1 Tangents, Arcs, and Chords
• Circumscribed Polygon – A polygon that is surrounded by a circle.
9-1 Tangents, Arcs, and Chords
• Inscribed Circle – A circle surrounded by a polygon.
9-1 Tangents, Arcs, and Chords
• Point of Tangency – Point at witch the tangent line hits the circle.
point of tangency
• All terms apply to spheres as well.
9-1 Tangents, Arcs, and Chords
SPICSA
330 2,3,4,6,7,8,9,10,11,12,14
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