Chapter 6- Circles Flashcards
The given distance from the center to the set of points in a circle
Radius
The set of all points in a plane at a given distance from a given point
Circle
Line segment whose endpoints lie on the circle
Chord
Largest chord
Diameter
Line segment that passes through the center
Diameter
Line that touches the circle in only one place on the outside
Tangent line
Two or more circles that have the same radius
Congruent circles
Two or more coplanar circles that share the same center
Concentric circles
Two points on the circle and a continuous part of the circle between the points
Arc
Arc of a circle whose endpoints are the endpoints of the diameter
Semicircle
Arc of a circle that is smaller than a semicircle
Minor arc
Arc of a circle that is bigger than a semicircle
Major arc
The measure of the central angle that intercepts an arc
Arc measure
An angle whose vertex is the center of a circle and whose sides pass through the endpoints of an arc
Central angle
Segment that touches the circle in only one place
Tangent segment
Two circles that are tangent to the same line at the same point
Tangent circles
An angle that has its vertex at the center of the circle
Central angle
An angle that has its vertex on the circle and it’s sides as chords
Inscribed angle
The measure of the central angle is equal to the measure of it’s intercepted arc
Central angle intercepted arc postulate
If two chords in a circle are congruent, then they determine two central angles that are congruent
Chord central angles theorem
If two chords in a circle are congruent, then their intercepted arcs are congruent
Chord arcs theorem
The perpendicular from the center of a circle to a chord is the bisector of the chord
Perpendicular to a chord theorem
Two congruent chords in a circle are equidistant From the center of the circle
Chord distance to center conjecture
The perpendicular bisector of a chord passes through the center of a circle
Perpendicular bisector of a chord conjecture
The measure of the angle formed by two intersecting tangents to a circle is supplementary to the smaller intercepted arc
Intersecting tangents conjecture
Circumference
Distance around a circle
Exact answer
Non rounded solution
Approximate answer
Use a rounded number for calculations at very end - round to three decimal places unless otherwise stated
Arc length
AL = θ
—- x C
360
