Free Printable Angles and Segments in Circles

1.

What is the value of w?

a)

52

b)

104

c)

76

d)

108

2.

Find the $m\angle L.$

a)

$25\degree$

b)

$65\degree$

c)

$115\degree$

d)

$155\degree$

3.

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.

a)

right angle

b)

acute angle

c)

inscribed angle

d)

intercepted angle

4.

Segments with endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

5.

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

6.

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB? (a)

Choose from the below words

25 degrees

40 degrees

50 degrees

100 degrees

7.

8.

Find the value of x.

9.

Solve for x:

10.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

11.

What is the value of y?

a)

27

b)

54

c)

108

d)

540

12.

The figure shows a circle with center $O$ , diameter $\overline{AC}$ , and inscribed $\Delta ACB$ . If $m\angle ABC=90\degree$ , $m\angle C=5x-2$ and $m\angle A=2x+8$ , what is the $m\angle BAC$ and $m\angle BCA$ ?

a)

$m\angle BAC=12\degree\ and\ m\angle BCA=78\degree$

b)

$m\angle BAC=45\degree\ and\ m\angle BCA=45\degree$

c)

$m\angle BAC=32\degree\ and\ m\angle BCA=58\degree$

d)

$m\angle BAC=30\degree\ and\ m\angle BCA=60\degree$

13.

Find m∠UST.

a)

119°

b)

163°

c)

44°

d)

61°

14.

Find the measure of major arc PQ (the question mark).

a)

260°

b)

100°

c)

25°

d)

130°

15.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

16.

Find the measure of minor arc KM.

a)

255°

b)

105°

c)

210°

d)

Cannot be determined.

17.

Find the m∠HFG.

a)

61⁰

b)

65⁰

c)

57⁰

d)

244⁰

18.

Find the m∠1.

a)

130⁰

b)

65⁰

c)

44⁰

d)

86⁰

19.

Solve for x.

a)

x = 32

b)

x = 23

c)

x = 30

d)

x = 18

20.

Find the measure of minor arc AC.

a)

76°

b)

135.5°

c)

70.5°

d)

65°

Angles and Segments in Circles

Total questions: 20

Worksheet time: 20mins

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