Vocabulary. Arcs. Segments. Equations of Circles. Angles. 1pt. 1 pt. 1 pt. 1pt. 1 pt. 2 pt. 2 pt. 2pt. 2pt. 2 pt. 3 pt. 3 pt. 3 pt. 3 pt. 3 pt. 4 pt. 4 pt. 4pt. 4 pt. 4pt. 5pt. 5 pt. 5 pt. 5 pt. 5 pt. A line that intersects a circle at exactly one point. - PowerPoint PPT Presentation
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Vocabulary Arcs SegmentsEquations of
CirclesAngles
A line that intersects a circle
at exactly one point.
What is a tangent?
An arc that measures less
than 180 degrees.
What is a minor arc?
An angle with a vertex on the circle and legs in the interior
of the circle.
What is an inscribed angle?
A point where a circle meets
a tangent.
What is a point of
tangency?
A segment that has its
endpoints on the circle.
What is a chord?
A
B
C
D
If chord AC = chord CD,
then what can we assume about their
arcs?
arc AB = arc CD
Find the measure
of arc AD.
(5x+18)o
7xo
A
B C
D
94.5o
xo
130o
Find x.
X = 100o
3xo 30o
(4x + 50)o
Find the measure of arc AB
A
B
C
90o
If the radius of the circle is 9, what is the arc length of AB?
A
B
C
700
17.3
x
4
5
2
Find x.
X = 10
Find x.Assume that segments that
appear to be tangent are tangent.
5x+27
14x
3
Find x.
Assume that segments that appear to be tangent are tangent.
16
12
x
13.9
x
3
5
9
Find x.
4
16
x
X+16Find x.
8
In an equation of a circle, the (h, k) values represent the __________________ and
the sum represents the ____________________.
Center coordinates,
radius squared
A circle with the equation (x-8)2 + (y+13)2 = 196 would have a center at
______ and a radius of ______.
(8, -13)r = 14
Write the equation of a circle with a center at
(-3,6) and a radius endpoint at (0,6)
(x+3)2 + (y-6)2 = 9
Graph the circle with the equation:x2 + (y-2)2 = 25
Write an equation for a circle whose diameter has endpoints