Arc Classification Measure

Name _________________________________________________ Date _________________
1. Match the notation with the term that best describes it.
_____
A. chord
_____
B. radius
_____
C. center
_____
D. point of tangency
_____
E. secant
_____
F. diameter
_____
G. common external tangent
Fill in the blank with always, sometimes, or never.
2. Two points on the same circle are _________________________ equidistant from the center.
3. A tangent line _________________________ intersects the circle at more than one point.
4. A secant _________________________ intersects the circle at more than one point.
5. A diameter is _________________________ a chord.
6. A chord is _________________________ a diameter.
7. Determine whether the arc is a minor arc, major arc, or semicircle. Then,find the measure of
eacharc. Z is the center of the circle.
Arc
Classification
Measure
8.On a regulation dartboard, the outermost circle is divided into 20 congruent sections. What is
the measure of each arc in this circle?
9. Use circle O to find the measure of the segment or arc. AO = 3 and BO = 7.
Find each segment length. Leave all non-integer answers as radicals in simplest form.
10. EA = 18
11. TN = 7 and GU = 26
DG =
SA =
Find the value of each variable.
12.
13.
y˚
8
x
z˚
12
K•
AT =
50˚
x
70˚
x˚
14.
15.
164˚
z˚
152˚
63˚
x˚
•
65˚
(4y – 1)˚
16.
y˚
3x˚
17.
3x – 11
•
x+9
19. Find
18. Find the value of x.
B
34˚
A
124˚
128˚
C
D
20. In the diagram shown, PQ⊥AB, QA is tangent to ⨀P, and the measure of arc AVB = 60°. What is
the measure of arc AUB?
21. If
and
, find