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Circle theorems 3 (w8 CW)

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

Find the red minor arc and its measure. Then find the blue major arc and its measure.

a)

AB, 135; ADB, 225

b)

ADB, 225; AB, 135

2.

The measure of an arc created by a CENTRAL ANGLE is:

a)

equal to the central angle

b)

2 times the size of the central angle

c)

half the size of the central angle

3.

The measure of arc CB is  84°84\degree  . What is the measure of angle CAB?

a)

 84°84\degree  

b)

 168°168\degree  

c)

 42°42\degree  

4.

Find the measure of arc BC (the minor arc).

a)

 57.5°57.5\degree  

b)

 115°115\degree  

c)

 28.75°28.75\degree  

5.

What is the measure of the minor arc BD?

a)

75.8°75.8\degree

b)

18.95°18.95\degree

c)

37.9°37.9\degree

6.

Find the sizes of the lettered angles in each of these circles

a)

a = 50, b = 95

b)

a = 85, b = 130

c)

a = 95, b = 50

d)

a = 130, b = 85

7.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

8.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

9.

Find the value of the angle marked x....

a)

88

b)

44

c)

92

d)

46

10.

Find the value of the angle marked x....

a)

100

b)

80

c)

109

d)

71