Studied by 74 peopleRadius
a segment whose endpoints are the center and any point on the circle
Chord
a segment whose endpoints are on a circle
diameter
a chord that contains the center of the circle
Secant
A line that intersects a circle in two points
Tangent
A line in the plane of a circle that intersects the circle in exactly one point.
point of tangency
the point where a circle and a tangent intersect
Arc
a portion of the edge of the circle
Minor Arc
an arc that measures less than 180 degrees
Major Arc
an arc that measures greater than 180 degrees
Semicircle
an arc with endpoints that are the endpoints of a diameter
Central Angle
an angle whose vertex is the center of the circle
inscribed angle
an angle whose vertex is on the circle and whose sides pass through the endpoints of the arc
intercepted arc
The arc that lies in the interior of an inscribed angle and has endpoints on the angle.
arc measure
The measure of the central angle that intercepts an arc, measured in degrees.
tangent segment
a line segment that lies on a tangent line with one endpoint at the point of tangency
Tangent circles
circles that are tangent to the same line at the same point
inscribed polygon
A polygon in which all of the vertices lie on a circle
circumscribed circle
the circle that contains the vertices of an inscribed polygon
cyclic quadrilateral
A quadrilateral that can be inscribed in a circle
A tangent to a circle is ____________ to the radius drawn from the point of tangency
perpendicular
Tangent segments to a circle from a point outside the circle are
congruent
Congruent chords form congruent ?
arcs
If a diameter of a circle is perpendicular to a chord, then the diameter ___?_____ the chord and its arc.
bisects
Two chords are congruent if they are _?__ from the center
equidistant
The perpendicular bisector of a chord passes through the _?__ of the circle
center
If two chords in a circle are congruent, then they determine two central angles that are ___?_____
congruent
the measure of an angle inscribed in a circle is
one
inscribed angles that intercept the same arc are
congruent
Angles inscribed in a semicircle are
right angles
The opposite angles of a cyclic quadrilateral are
supplementary
parallel lines intercept _?_ arcs on a circle
congruent
if two chords interest inside a circle, then the measure of each angle is
one
If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is
one
If two chords intersect in the interior of a circle
then the product of the lengths of the segments is equal to the product of the lengths of the segments of the other chords.
If two secant segments share the same endpoint outside a circle
then the product of lengths of one secant segment and its external secant segment equals the product of the lengths of the other secant segment and its external segment
Circumference
the perimeter of a circle, the distance around the circle
Pi
The ratio of the circumference of a circle to its diameter
Length of an arc
(central angle/360) x 2πr
angular velocity
rate of change with respect to time (degrees per unit of time)
tangential velocity
The speed of an object at a point as it moves around the circumference of a circle (measure of length per unit of time)
Note
Flashcard