********************

CB

A

O

center

radius

circumference

diameter segment (area)

sector (area)

chord

tangent

2

CB

A

O

center

radius

circumference

diameter segment (area)

sector (area)

chord

tangent

O O A A OA

B C BC O BC

O O

3

AB O ADB AB ADB ACB AB ACB AB ADB m(ADB) ACB m(ACB) AB m(AB)

D

C

O

AB

C

D

CB O

BA

O

DC

E

4

AOB AOB O AOB AB AOB AXB

ACB O AXB

BC O BAC BXC

X

BA

O

B

A

O

C

X

B CO

A

5

90

BA O

C

BAO

C

BA O

C

O

C

AB

OC

A B

D

O

C

BA

O

A

B

D

C

O

A

BD

C

OA

B D

C

6

O

A

B

R

P

Q

DC

O

A B

O

C

A

B R

D

E

F

A

O

C

D B

O

A B

R

P Q

B

AO

C

D

7

O

C

A

B R

E

D

F

A

C

OB

AB

O

D

C

O

A B

O

C

D

A B

O O

C

D

CB

A

8

1. 2.

X B

O

A X B

O

A

F

E

Y

X B

O

A

D

C

43

2

1

O

9

1.

2.

C

D

O

AB

C

D

O

A

B

O

EF

C

DB

A

10

PO

A

B

11

1.

x = . , y = .

2.

x = . , y = .

3.

x = . , y = .

4.

x = . , y = .

5.

x = . , y = .

6.

x = . , y = .

7.

x = . , y = .

8.

x = . , y = .

9.

x = . , y = .

10.

x = . , y = .

11.

x = . , y = .

12.

x = . , y = .

y

x

230O

yx

50

O

110

x

y

O

x

y

O

x

y

40O

y

x

98

O

x

y 40O

y

x 70

O

x

60

O

40

x

O

y

x

40

O

yxO

12

13.

x = . , y = .

14.

x = . , y = .

15.

x = . , y = .

16.

x = . , y = .

17.

x = . , y = .

18.

x = . , y = .

19.

x = . , y = .

20.

x = . , y = .

21.

a = . , b = .

22.

c = . , d = .

23.

e = .

24.

q = .. , r = .. , s = ........

xy

25O

x

y

30O

x

y

20

O

2320

x

y

O

x

y

100

68

xy

3080

x

y

50

y

x

110

70

b

a

35

O

d

c

15

O

e

42

O

qsr

70 O

13

25.

t = . , u = .. , v = ........ 26.

p = . , q = .

27.

i = . , j = .

28.

p = .

29.

l = . , m = . , n = ........ 30.

a = . , b = .

31.

c = . , d = .

32.

e = .. , f = .. , g = ........

33.

h = . , i = .

34.

OAB = ....... , OBA = OCD = , ODC = 35.

OPQ = , OQP = OQR = , ORQ = 36.

ACD = , BDC = CAB = , BDA =

v

u

t

50

O

qp

100

O

j

i36O

h

224

O

l

nm

2555

O

b

a60

50

20

40

c

d

g

f

e

70

35

hi

40

60

80

A

C B

O

D

100 60

25

X

D

B

C

A

25

QP

S

OR

14

37.

EFH = , FEG = GFH = , EGF = 38.

ADB = , DBC = BDC = , ACD = 39.

d = , c =

40.

e = . , f = . , g = .......

41.

h = . , i = . , j = .......

42.

k = , l =

43.

AXD = . , CBD = BAC = . 44. SPT = , RQT = RPQ = , SQP =

45.

CAD = , CAB = CBA = 46.

YXZ = , XZY = WYZ = , XWY = 47.

x = , y = 48.

a = , b =

8060

30

X

F

H

E

G

30

D

X

B

O

A C

28c

d52

O

h j

i65

O

l k

55

O

2530

XC

D

BOA

25

40

CD

BOA

60Q

ZY

XOW

ba

105

85

g

f e

35O

50T R

S

QOP

y

x

78

O

15

49.

c = , d =

50.

e = . , f = . , g = .......

51.

h = , i =

52.

j = . , k = . , l = .......

53.

m = , n = 54.

XYZ = , XWZ = 55.

BAD = , CBT = ADC = 56. ACB = 2ACD

ACD = , ACB =

57. PSQ = 5QSR

QSR = , PSQ = 58.

a = . , b = . , c = ....... 59.

d = . , e = . , f = ....... 60.

g = .

c

d

80

d

e

75f

g

115

h84

i

35

Y

X Z

W

78

AB

C D

T

60

B

D

A

C

R

QP

S

c

b

a56

O

65

f

e

d

O

5g

g

Ok

100

j

l

110

mn

95

16

61.

h = , i =

62.

j =

63.

k = 64.

x =

65.

l = . , m = . , n = ....... 66.

p = , q = r = , s =

67.

t = , u = v = , w =

68.

a = , b = 69.

c = , d = 70.

e =

ih

O

50

j

O

x

4x

2x

O

70

p

sr

q

O

4e

e

O

4k

k

O

35

l

n

mO

65

w

tu

v

O

ba

40

O

dc

50

O

17

71.

f = , g =

72.

h =

73.

XOY = , XYZ =

74.

BAC = , BCA = ACO = , AOC = 75.

PRS = , PSR =

76.

ORQ = , QPS =

77.

AOB = , DAO = ADC = 78.

a = . , b = . , c = ....... d = . , e = . , f = ....... 79.

a = , b = c = , d =

110

gf

O

3h

2h

O

63Q

Y

Z

O

X

40

X

B

A

O

C

65X

S

R

O

P

40

50

Q

S

R

O

P

70

a b

c de

f

O

d

c

b

a

25

30

O

18

D

B

C

OA

18

80.

l = . , m = . , n = ....... p = . , q = . , 81.

u = . , v = . , w = ....... x = . , y = . , z = ....... 82.

l = . , m = . , n = ....... p = . , q = . , r = .......

83.

x = , y =

84.

x = , y =

85.

a = . , b = . , c = .......

86.

x = . , y = . , z = ....... 87.

x = , y =

88.

x = , y =

89.

x = , y =

uv

wx

y

z

40

O

lm

n p

q

r

50 100

y

x

43

108

x50

y

70

44

66

b

c

a

x

zy

34

36

O

yx

28

O

32

24

x

y

O

28

x

y

38

O

80

l

mn

p

q

O

19