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F3 C6 Angles and tangent to a circle

Total questions: 20

Worksheet time: 37mins

Name
Class
Date
1.

Find the values of angles x and y.

a)

x = 32°, y = 16°x\ =\ 32\degree,\ y\ =\ 16\degree

b)

x = 32°, y = 32°x\ =\ 32\degree,\ y\ =\ 32\degree

c)

x = 16°, y = 32°x\ =\ 16\degree,\ y\ =\ 32\degree

d)

x = 16°, y = 16°x\ =\ 16\degree,\ y\ =\ 16\degree

2.

Based on the diagram, determine the value of x.

Berdasarkan rajah, tentukan nilai x.

a)

50

b)

165

c)

25

d)

50

3.

Calculate y

a)

49

b)

98

c)

196

d)

262

4.

Shown is a circle with centre O.

ABC is a straight line.

Angle CBD is 146°.

Find the size of angle AOD.

a)

86

b)

68

c)

34

5.

What is the value of a?

a)

62

b)

89

c)

29

d)

67

6.

What is the value of b?

a)

53

b)

87

c)

43.5

d)

68

7.

What is the value of x and y?

a)

x=45°, y=40°x=45\degree,\ y=40\degree

b)

x=40°, y=45°x=40\degree,\ y=45\degree

c)

x=45°, y=85°x=45\degree,\ y=85\degree

d)

x=85°,y=40°x=85\degree,y=40\degree

8.

What is the value of x and y?

a)

x=55°, y=35°x=55\degree,\ y=35\degree

b)

x=35°, y=30°x=35\degree,\ y=30\degree

c)

x=30°, y=35°x=30\degree,\ y=35\degree

d)

x=55°, y=30°x=55\degree,\ y=30\degree

9.

x =

a)

x = 8.5°

b)

x = 9.5°

c)

x = 76°

d)

x = 98°

10.

x =

a)

40°

b)

50°

c)

70°

d)

120°

11.

x =

a)

22°

b)

38°

c)

79°

d)

158°

12.

∠ADO =

a)

22°

b)

79°

c)

90°

d)

158°

13.

x =

a)

66°

b)

75°

c)

105°

d)

114°

14.

The diagram shows a circle with centre O. PQ is a tangent to the circle. Given ∠PSR = 38°, calculate the value of x.

a)

52°

b)

50°

c)

38°

d)

90°

15.

The diagram shows a circle where AB is a tangent to the circle. Given ∠BAC = 42°, calculate the value of x.

a)

42°

b)

69°

c)

27°

d)

30°

16.

Line AB is a tangent to the circle with center C. Find the value of x.

a)

40°

b)

36°

c)

54°

d)

32°

17.

AC is a tangent to circle O at point C. What is the length of AC?

a)

12 cm

b)

13 cm

c)

14 cm

d)

15 cm

18.

Calculate the value of  x°x\degree .

a)

 76°76\degree  

b)

 38°38\degree  

c)

 52°52\degree   

d)

 60°60\degree  

19.

Determine the value of x°x\degree .

a)

 88°88\degree  

b)

 70°70\degree  

c)

 60°60\degree  

d)

 56°56\degree  

20.

Find the value of x and y.

a)

x=30°, y=50°x=30\degree,\ y=50\degree

b)

x=40°, y=76.6°x=40\degree,\ y=76.6\degree

c)

x=35°, y=13.4°x=35\degree,\ y=13.4\degree