W24 Chp8 Circular Measures 3

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Class: Date:

Tuesday 14.06.16 9 Ramadan 1437H 

Week: Time:

24

(7.45 m ! ".45 m#

$ili %assin %assin &es'ou'es) *eita+e ,aden Su-e' e't: Toi': Su-3toi's: e' e'is ise: e:

1.

/dditi itional a atem temaati' ti's) 2o 2om 4 8 ! Circular Measures  Radian  8.2: Arc Length of a Circle Circle    8.3: Area of a Sector  8.1: Radian  S S ast ast %ea 8u 8uesti estion onss (9T (9T& &/#

Dia+am 1 sos a 'i'le i it 'e 'ente O and adius 10 'm. [SPM 2008, P1, 4M]

>

10 'm



& 

< <

8 Dia+am 1 ,i;en tat P  tat P ) Q and R  and R ae  ae oints su' tat OP  < PQ  < PQ and  and ∠OPR < OPR < "0o) find (a# (-#

QOR) ∠QOR)

in adians) te aea) in 'm=) of te saded e+ion.

(a) 1.047 rad (b) 30.7 cm2

=.

Dia+am = sos a se'to ROS  it  it 'ente O. [SPM 2003, P1, 3M]

R

O

S Dia+am =

Te len+t of te a'  RS  is   is 7.=4 'm and te eimete of te se'to  ROS  is   is =5 'm. 2ind te ;alue of θ ) in adian.

0.8153 rad 1

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Form 4 Additional Mat!matic" # $%&'

?.

Dia+am sos a 'i'le) 'ente O and adius 10 'm ins'i-ed in a se'to APB of a 'i'le) 'ente  P . Te stai+t lines) AP  and BP ) ae tan+ents to te 'i'le at oint Q and oint R) ese'ti;ely. [SPM 2007, P2, 10M]

B

A 10 cm

O

Q

R

60o PPO Dia+am ? @Ase π < ?.14=B Cal'ulate (a# te len+t) in 'm) of te a' AB) (-#

@5 markB

te aea) in 'm=) of te saded e+ion.

@5 markB

(a) 31.42 cm (b) 88.4 cm2 2

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4.

Dia+am 4 sos te lan of a +aden.  PCQ is a semi'i'le it 'ente O and as a adius of  m.  RAQ is a se'to of a 'i'le it 'ente  A and as a adius of 14 m. [SPM 200, P2, 10M]

R

C

P

A

Q

O Dia+am 4

Se'to COQ is a lan. Te saded e+ion is a floe -ed and as to -e fen'ed. t is +i;en tat  AC  <  m and ∠ COQ < 1."56 adians. @use π < ?.14= B Cal'ulate (a# te aea) in m =) of te lan. @= markB (-# te len+t) in m) of te fen'e eEuied fo fen'in+ te floe -ed) @4 markB ('# te aea ) in m = ) of te floe -ed. @4 markB

(a) 2.5* cm2 (b) 38.25 cm (c) 31.3* cm 2 3

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