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Tangents & Inscribed Angles of a Circle

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
2.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
3.
Solve for x.
a)
45.5
b)
90.5
c)
90
d)
23
4.
a)

A

b)

B

c)

C

d)

D

5.
Find the measure of arc QR
a)
106
b)
85
c)
113
d)
78
6.

All the inscribed angles that form intercepted arc AZ have the same measure?

a)

TRUE

b)

FALSE

7.
Find the measure of <F
a)
46
b)
5
c)
90
d)
1.8
8.

Which shows a tangent line?

a)
b)
c)
d)
9.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
10.

Assume lines that look like tangents are tangents.

a)

7.5

b)

56.25

c)

9.39

d)

4.5

11.
Find x. Assume that segments that appear to be tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
12.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
13.
Find a and b.
a)
a=74 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
14.
Find x. Assume that segments that appear to be tangent are tangent.
a)
11.2
b)
18.0
c)
25.0
d)
30.0
15.
What is the measure of arc NM?
a)
116
b)
117
c)
118
d)
119
16.
What is the measure of angle JML?
a)
93
b)
94
c)
95
d)
96
17.
Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
18.

Find the area of the sector with a radius of 3m and measure of 150 degrees.

a)

4248 m2

b)

7.9 m2

c)

2827.4 m2

d)

11.8 m2

19.
Find the measure of <E.
a)
7
b)
8
c)
44
20.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0