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SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 1 KARISMA TUITION CENTRE CIRCULAR MEASURE APPLICATION 3 FORMULA PELAJAR MESTI TAHU!!!!!!!!!!! SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 2 KARISMA TUITION CENTRE SOALAN-SOALAN PEPERIKSAAN SEBENAR SPM 2003-2009 PAPER 1 1 SPM ‘04 4 SPM ‘07 3 SPM ‘06 2 SPM ‘05 SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 3 KARISMA TUITION CENTRE PAPER 2 1 SPM ‘05 3 SPM ‘07 2 SPM ‘06 SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 4 KARISMA TUITION CENTRE PAPER 1 –ANALISYS “KERTAS SOALAN PERCUBAAN NEGERI SELURUH MALAYSIA” PERCUBAAN Negeri Kelantan 2009 P1, Q18 1. Diagram 18 show a semicircle OABC, centre O Given that AC=12 cm ∠ BOC =35 o ,Find i) θ In radian ii) The area, in cm 2 ,sector OAB PERCUBAAN Negeri Kedah 2009 P1, Q18 2) Diagram below shows a circle with centre O Given that the minor angle POQ is π 3 2 radian and the area of the shaded region is 12π cm 2. Find the length of the minor are PQ PERCUBAAN Negeri Sembilan 2009 P1, Q18 3) Diagram 4 shows a circle with centre O The length of the minor arc AB is 14.5cm and the angle of the major sector AOB is 29.5 o Using π = 3.142 , find a) The value of θ , in radian, b) The length, in cm, of the radius of the circle. PERCUBAAN Negeri Sabah 2009 P1, Q12 4) Diagram 3 shows a circle with centre O. Given that the arc of the minor sector AOB is 10 cm and ∠ AOB of the major sector AOB is π 3 4 rad Find the length of radius, in cm, in terms of π PERCUBAAN Negeri Melaka 2009 P1, Q18 5) Diagram 18 shows a semicircle OWXY with centre O and a radius of 3cm. If the length of the arc XY is 9cm, find the perimeter of the shaded region in terms of π PERCUBAAN Negeri Selangor 2009 P1, Q18 6) Diagram 6 shows a sector OPQ with centre O Given that OT = TP=8 cm and ∠ QOP = 4 π radian, find (a)OP, in cm (b) The area , in cm 2, of the shaded region [3 marks] [3 marks] [3 marks] [3 marks] [3 marks] [4 marks] SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 5 KARISMA TUITION CENTRE PERCUBAAN Negeri Sarawak 2009 P1, Q18 7) Diagram 5 shows a semicircle with centre O. The diameter of the circle is 16 cm and ∠ POQ = 0.6 radian. Calculate (a) the length of arc QP, (b) area of the shaded region PAPER 2 –ANALISYS “KERTAS SOALAN PERCUBAAN NEGERI SELURUH MALAYSIA” PERCUBAAN Negeri Kelantan 2009 P2, Q9 8) Diagram 9 shows a sector OMN of a circle centre O and radius 10 cm. The point P lies on OM and PN is perpendicular to OM. It is given that 2OP = 3PM. Calculate (a) the length, in cm, of OP, [1 mark] (b) the angle, θ, in radian, [2 marks] (c) the perimeter, in cm,of the shaded region,[4 marks] (d) The area, in cm 2, of shaded region. [3 marks] PERCUBAAN Negeri Kedah 2009 P2, Q10 9) The diagram shows the cross-section of a cylindrical roller with Centre O and radius 20 cm resting on a horizontal ground PQ.OAB is a straight line that represents the handle of the roller and OA : AB = 1 : 3. Calculate (a)∠ POA in radian, [3 marks] (b) the perimeter, in cm, of the shaded region, [3 marks] (c) The area, in cm2, of the shaded region. [4 marks] PERCUBAAN Negeri Melaka 2009 P2, Q9 10) Diagram 9 shows AE and BE are two tangents to the circle with centre O of radius 5 cm. ADB and ACB are two arcs to the circle with centre O and E respectively. Given that the angle AOB is π 3 2 radian PERCUBAAN Negeri Sembilan 2009 P2, Q9 11) Diagram 3 shows a sector POQ with centre O and a radius of 12 cm. Point R lies on OP such that OR : OP = 3 : 4 [4 marks] SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 6 KARISMA TUITION CENTRE . By using 7 22 = π calculate, (a) angle AEO in radians [ 2 marks ] (b) Perimeter of shaded region ACBO [ 4 marks] ( c) area of segment DACB [ 4 marks ] Calculate (a) ∠ POQ, in radian, [2 marks] (b) the perimeter, in cm, of the shaded region, [4 marks] (c) The area, in cm2, of the shaded region. [4 marks] PERCUBAAN Negeri Sabah 2009 P2, Q11 12) Diagram 6 shows a circle PQR with radius 5 cm. RS and QS are tangent to the circle and ∠ ROQ = θ. Given that PQR is an equilateral triangle. [Use / Guna π = 3.142.] Find (a) the value of θ in degrees, [1 mark] (b) the length of OS, [2 marks] (c) area of the whole diagram, [4 marks] (d) Perimeter of the shaded region. [3 marks] PERCUBAAN Negeri Sarawak 2009 P2, Q2 Diagram 1 shows a circle with centre O. PTQ is a tangent to the circle at T and PQ = OQ = 20 cm. Calculate (a) the length of the arc STR, [4 marks] (b) The area of the shaded region. [4 marks] SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 7 KARISMA TUITION CENTRE SPM 2010 Prepared by: Cikgu Rajaei Find more Tips and Guide here www.mathgayapos.blogspot.com CHAPTER 8: Circular Measure FOKUS A+ 8 KARISMA TUITION CENTRE
