f3circles

7/28/2019 f3circles

1/4

Prepared by MHS 2009

MODULE

MATHEMATICS SPM

CIRCLES

1.

4 cm4 cm6 cm

= 3.142SOR = 120

R

Q

POT

S

a) Perimeter of the

whole diagram.

b) Area of the shaded

region.

2.

=22

7

7 cm

7 cm7 cm

S

R QP

OUT

a) Perimeter of the

whole diagram.


region.

3.

a) Perimeter of the

whole diagram.


region.

4.

=22

7

SOP is an equilateral triangleof side 14 cm.

T is the midpoint of SP.

14 cm

T

S

R

QPO

a) Perimeter of the

whole diagram.


region.

7/28/2019 f3circles

2/4


5.

RQ = ST = 7 cm, PO = 14 cm, =22

7

60

R

Q

T

S

O

P

a) Area of the shaded

region

b) Perimeter of the

whole diagram.

6.

RO = 2OV

OV = 7 cm

R O V

U

T

UOV = 60

=22

7


region

b) Perimeter of the

whole diagram.

7.

OM = MP = 7 cm,

POQ = 60, =22

7

60

N R

Q

PMO

a) Perimeter of the

whole diagram.


region.

8.

=22

7

OS = 21 cm, OP = 14 cm

T

Q

R

OS

60


region

b) Perimeter of the

whole diagram.

7/28/2019 f3circles

3/4


9.

VOW = 30

7 cm

Z

Y

XW

V

O

7

22

a) Perimeter of the

whole diagram.

b) Area of the shadedregion.

10.

T is a midpoint of OS

POQ = 60, OP = 6 cm, OS = 14 cm

Q

R

STO

P

7

22

a) Perimeter of the

whole diagram.


region.

11.

OP= PQ = 5.65 cm

ROP = 20, OQ = 8 cm

R

QO

P

7

22

a) Perimeter of the

shaded region.b) Area of the shaded

region.

12.

OD = 14 cm, OG = 7 cm, FOG = 80

30

E

F

G

OD

7

22

a) Perimeter of the

whole diagram.


region.

7/28/2019 f3circles

4/4


13.

OA = OD = 5 cm, AB = 2.5 cm

D

CB

O

A

60

7

22


region.

b) Perimeter of the

shaded region.

14.

OR = 2OQ, OQ = 3.5 cm,

POQ = QOT = 60

Q

R S

T

UO

P

7

22

a) Perimeter of the

whole diagram.b) Area of the shaded

region.

15.

OP = 2OT,

OT = OU = QR = 7 cm

U

Q

RS

OTP

60

45

7

22

a) Perimeter of thewhole diagram.


region.

16.

OQ = 2OR, OR = 14 cm,POQ = 45, TOR = 90

U

S

Q

RT

OP

7

22


region.

b) Perimeter of the

shaded region.

f3circles

Documents