The points A, B and C lie on the circle. 2 cm Angle AOB 75&176; Length of arc AB 7. The length of the arc AB is 7. The line AC shown in Figure 1 is perpendicular to OA, and OBC is a straight line. Here, r 12 cm. cm 3 (b) The surface area of a sphere is the same as the area of the sector. e A i. so we have Arc length radius (theta in radians). (c) Find the length of AC, giving your answer to 2 decimal places. The area of the sector is 40 cm 2. Part of the square is shaded and labelled R. Give your answer correct to 3 significant figures. cm2 (Total for Question 19 is 5 marks) Diagram NOT. In the following diagram, O is the centre of the circle and (AT. The shaded region is bounded by the circumference of the circle and the arc with centre A joining B and C. b) The diagram shows two points A and B on the circumference of a circle, centre O. 3 marks Find AB. The lines AC and BC are tangents to the circle with centre o DEB and off are straight lines The line ED is parallel to BC and the line FD is parallel to AC. When 0 a, the area of the square ABCD is equal to the area of the 4 marks) sector OAB (1) Write down the area of the Question The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. (a) Find the length of the arc AB. The angle AOB is 3 2r radians. Calculate the perimeter of sector OAB. Find the length of the minor arc AB. The diagram shows a sector CAB which is part of a circle with centre C. Topic Arc LengthSector Area. If the radius of the circle is 8cm calculate (a) The area of the shaded area. Given that. 5 cm2 correct to 1 decimal place. Show that simplifies to ax where a is an integer. The diagram shows a sector of a circle of radius 4 cm. Categorisation Use the cosine rule in the context of sectorssegments. The following diagram shows a circle with radius r and centre O. Calculate the sum to infinity of the arc lengths A B A 1 B 1 A 2 B 2 A 3 B 3 . A circular arc with centre A meets the circumference at B and C. Perimeter OA OB ( . cm2 (Total for question 4 marks) Q3. The formula can also be represented as Sector Area (360) r 2, where is measured in degrees. 6 OB cm Angle AOB 85 Calculate the perimeter, in cm to 3 significant figures, of the sector OAB. The lines AC and BC are tangents to the circle with centre o DEB and off are straight lines The line ED is parallel to BC and the line FD is parallel to AC. the length . diagram shows sector OAB of a circle, centre. 4 cm. Please you will have to solve it without a diagram. The triangles AOPand BOPare isosceles because all radii are equal, so APO and BPO (base angles of isosceles triangles AOPand BOP). 884 cm. Markscheme choosing sine rule (M1) correct substitution A1 e. Calculate the volume of the cone. The following diagram shows a circle with radius rand centre O. Answer to Diagram NOT ac The diagram shows a sector of a. MEGA LECTURE. Angle AOB 50 Sector OAB has area 20 cm2 Calculate the perimeter of sector OAB. The smaller one has centre P, radius 3 cm, and passes. The point Cis the midpoint of OA. 5 4 (i) Show that the equation sin cos tan cos x x x 6 x can be expressed in the. O 8 cm A B The diagram shows a sector of a circle with centre O, radius 8 cm and sector angle 165. (a) Show that the exact length of BC is (b) Find the exact perimeter of the shaded region (c) Find the exact area of the shaded region; The diagram shows part of the curve y 6x. The area of the sector is 112 2. The diagram shows the speedtime graph for the final 40 seconds of a car journey. and further to find the perimeter of logo add the perimeter of rectangle, length of arc and length of the line. The diagram shows a sector OAB of a circle, centre O. Given that the difference between the perimeter of sector OAB and the perimeter of triangle OAB is 1. The tangent to the circle at A meets the line OB extended at C. QR is an arc of a circle with centre P and POR is a straight line. The diagram shows the speedtime graph for the final 40 seconds of a car journey. AB is a chord of the circle. (c) Find the length of AC, giving your answer to 2. The diagram shows sector OAB of a circle, centre O. A magnifying glass. The size of angle AOB is radians. The diagrams br diagram shows the sector OAB of a circle with centre os radius rom, and angle 1. Calculate OA. (2) (b) Find the length of BP. Find the length of the chord AB. 4 8 (i) Given that log9 x a log 3 x, find a. The arc length of the sector is 15 cm. (b) Find the area of the sector OAB. It indicates, "Click to perform a search". Give your answer correct to 3 significant figures. b) The diagram shows two points A and B on the circumference of a circle, centre O. AB 9cm,. The figure above shows a circular sector OAB whose centre is at O. The angle of the sector is 123. The angle OAB is radians. 2 cmCalculate the area of the sector. 6 ago 2018. Give your answer correct to 3 significant figures. The shaded sector OACB has an area of 27 cm2. Find (i) the angle AOB in radians, 3. (Total 6 marks) 10. the diagram shows a sector OAB of a circle with centre O and radius 5cm. cm (Total for question 5 marks) Q2. The angle BO. value of in radians. 7 radians, calculate a) the area, in cm 2, of the sector OAB, b) the area, in cm 2 to 2 significant figures, of the shaded segment. The diagram shows the speedtime graph for the final 40 seconds of a car journey. The diagram shows a sector OAB of a circle, centre O, radius 4 cm. Diagram NOT accurately drawn 3. cm 3 (b) The surface area of a sphere is the same as the area of the sector. cm (Total for question 5 marks) Q2. Given that AOB radians and that the length of the arc ABis 32. The diagram shows a sector of a circle with centre O, radius 8 cm and sector angle 165. The point C on OA issuchthatBC is perpendicular toOA. Find the perimeter of the sector. AD is the diameter of circle. Transcribed image text The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. (2) (b) Find the area of the sector OAB. The circle is divided into five equal sectors. Give your answer correct to 3 significant figures. Markscheme A1 N1 1 mark r AOB 2 5 2b. Area of Sectors Perimeter of Sectors Question Click here for a printable PDF of this question. Question Gauthmathier0854. In the diagram, A B is an arc of a circle with centre O and radius r. 6 m b Calculate the area of the flowerbed. 3 cm. 100 or 100. 8 radians and the radius of the. Give your answer correct to 3 significant figures. (b) Find the area of the sector OAB. 3 marks Find AB. Calculate the radius of the sphere. 6 radians, OA 6 cm and OA is perpendicular to OC. Calculate the area of the sector. Find the value of r. 16 (a) (b) JABATAN PENDIDIKAN NEGERI SABAH MODULE. 7 cm, find its area. The region R is bounded by the arc AB and by the lines AC and CB. The diagram shows a sector OAB of a circle, centre O, radius 4 cm. The tangent to the circle at A meets the line OB extended at C. a) the length of the arc BC b) The area of the sector ABC. 24)The diagram shows a sector OAB of a Diagram NOT accurately drawn circle, center O. a tangent to both circles. Difference between area of sector AOB and OAB 339. b) find the area of the sector OAB. The diagram shows a sector of a circle, centre O, with one angle shown as being 110. The surface area, A, of a sphere with radius r is Ar 4r 2. Angle AOB 72 Calculate the area of the shaded segment APB. A magnifying glass. Find the value of r and of . Answer to Diagram NOT ac The diagram shows a sector of a. (b) Calculate the length of the minor arc ACB. The following diagram shows a circle of centre O, and radius r. The diagram shows a sector of a circle, centre O, with one angle shown as being 110. 24)The diagram shows a sector OAB of a Diagram NOT accurately drawn circle, center O. BCO is a straight line. 1has centre P and radius. The following diagram shows a circle of centre O, and radius r. ANSWER Simple Text Answer Answer 10. Transcribed image text The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. OAB is a sector of the circle with centre O and radius r, as shown in the following diagram diagram not to scale B o C A The angle AOB is radians, where 0 <O< The point C lies on OA. 5 cm and the perimeter of the sector AOB is 25 cm. and further to find the perimeter of logo add the perimeter of rectangle, length of arc and length of the line. 2 cm 750 B Calculate the area of the sector. Show that theta lies between 0. 12 A 11 cm O 0. Given that the perimeter of the sector is 31. The diagram shows a sector OAB of a circle, centre (. 5 < <n. (2) (b) Find the area of the sector OAB. Click here to get an answer to your question OAB is a sector of a circle with centre O and radius 8 cm. 6 cm2. The diagram shows sector OABof a circle, centre O, radius 15 cm. The area of triangle OAB. 2 cm Calculate the area of the sector. a Express 260 in radians, correct to 3 decimal places. The angle OAB is radians. 120 o is the correct answer if the earth were not in the way, a rainbow would be a complete circle ar and bs are the tangents to the circle, with. O A B D C E F The figure shows a sector OAB of a circle, centre O, radius 10 cm. 9c B The diagram shows a. It indicates, "Click to perform a search". In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB 16 radians. 7 radians. Angle BOC is 2. (a) Show that the exact length of BCis r 5 2 3. Give your answer correct to 3 significant figures. O is the centre of the circle which has a radius of 6 cm. Give your answer correct to 3 significant figures. Find the area of the square. OB 8 cm and angle AOB 30. Leave your answer. The point R lies on OP such that angle ORS is a right angle. The area of the sector OAB is 180 cm. A circular arc with centre A meets the circumference at B and C. The diagram shows a circle of radius 11. Question Diagram NOT ac The diagram shows a sector of a circle, centre O, radil The arc length of the sector is 15cm. 2 cm and centre O. Part of the square is shaded and labelled R. (c) Describe fully a sequence of transformations that maps the curve y f x on to y h x. Use p 3. Find the value of r and of . The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. com Question 9 Categorisation Determine the area of a segment. Given that the area of the sector is 38. OA OB 5. A lies on OX, B lies on OY and OA OB. The angle at the centre of the sector, AOBB, Is 1. The diagram below shows a sector AOB of a circle of radius 15 cm and centre O. The surface area, A, of a sphere with radius r is Ar 4r 2. In the question, we can infer that AB is perpendicular to OA which implies that Delta OAB is a right-angled triangle. 6 radians, OA 6 cm and OA is perpendicular to OC. OAB is a sector of the circle having centre at O and radius 12 cm. Find the value of. cm (Total for question 5 marks) Q2. 7 cm, find its area. Calculate the are of the sector. The diagram shows a sector OAB of a circle, centre O, radius 4 cm. Example 10 An arc of a circle is of length 5 cm and the sector it bounds has an area of 20 cm. Open navigation menu. OPQ is a sector of a circle, centre O and radius 9 cm. OAB is the sector of a circle, centre O. OCA and ODB are straight lines. a) A circle of radius 1. diagram shows a triangle OAB in which angle OAB 90o and OA 5 cm. OA OC 10. (2) (b) Find the area of the sector OAB. Give your answer . Give your answer correct to 3 significant figures. 2) Answer 4 marks 2006, No. The surface area, A, of a sphere with radius r is Ar 4r 2. Calculate the shortest distance from A to C across the park, using only the paths shown. pristine edgeporn, craigslist trailers for sale by owner near massachusetts
4 cm. . The diagram shows a sector oab of a circle with centre o
41 62. The angle OAB is radians. One sector is OAB, and. The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. Angle AOB 72 Calculate the area of the shaded segment APB. Transcribed image text 3) The diagram shows a sector OAB of a circle, centre O and radius x metres. O r A C B (a) Find the radius. The surface area, A, of a sphere with radius r is Ar 4r 2. Angle AOB 72 Calculate the area of the shaded segment APB. The angle of the sector is 123. 40 degrees. A Y X qO B (a) the value of q, in radians, (Ans 0. The area of the sector is 40 cm 2. Give your answer correct to 3 significant figures. The surface area, A, of a sphere with radius r is Ar 4r 2. (Ans 26. A Y X O B Given that OB 10 cm, AY 4 cm, XAY 1. The shaded region is bounded by the curve and the lines y 2 and x 1. 50 The diagram shows sector OAB with centre O and sector AXY with centre A. AB is a tangent to the circle such that the area of triangle (DAB is 40 cm2. The chord AB subtends at an angle of 75 at the centre. Diagram NOT accurately drawn OAB is a sector of a circle, centre O. (b) Calculate the length of the minor arc ACB. The point R lies on OP such that angle ORS is a right angle. Example 2 The diagram shows a sector. C2 Trigonometry Arc Length & Sector Area PhysicsAndMathsTutor C2 Trigonometry Arc Length & Sector. Exercise 13. Jun 2, 2010 Core 2 Mathematics Edexcel June 2010 Question 6. The line AC shown in Figure 1 is perpendicular to OA, and OBC is a straight line. The diagram shows sector OAB of a circle, centre O. DOBis a diameter of the circle. The diagram below shows a circle, centre O, with a radius 12 cm. Figure 1 shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. So, you were trying to be a good test taker and practice for the GRE with PowerPrep online. The diagram shows a sector OAB of a circle, centre O. The area of the shaded region is equal to half the. Diagram shows a circle, centre O and radius 8 cm inscribed in a sector SPT of a circle at centre P. (2) The line AC shown in the diagram above is perpendicular to OA, and OBC is a straight line. The diagram shows sector OAB of a circle, centre O. 50 The diagram shows sector OAB with centre O and sector AXY with centre A. C2 Trigonometry Arc Length & Sector Area Edexcel Internal Review 1. 0 to 100. (a) Show that r 20 2r. AB is a chord of the circle. The sector angle is 53. Question Diagram NOT ac The diagram shows a sector of a circle, centre O, radil The arc length of the sector is 15cm. The diagram shows a sector OAB of a circle, centre O and radius 10 cm. Question 4 In the diagram, a sector of a circle of radius 12 cm is shaded. Question 3 The diagram shows a sector of a circle with an area of 26. 8 cm Find (a) LAOC, in radians. Transcribed image text The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. The area of the shaded region is equal to half the. (ii) Find the area of the shaded region. Give your answer correct to 3 significant figures. The point C on OA is such that BC is perpendicular to OA. In the diagram, OABis a sector of a circle with centre Oand radius 2r, and angle AOB 1 6 radians. Give your answer correct to 3 significant figures. The diagram shows a sector AOB of a circle of radius 1 and centre O, where AB The lines (A B 1), (A 1 B 2), (A 2 B 3) are perpendicular to OB. The angle OAB is radians. Find the value of r and of . Part of the square is shaded and labelled R. line AB is a tangent to the circle. The point Cis the midpoint of OA. Angle AOB 72 Calculate the area of the shaded segment APB. (i) Find the exact length of the arc AB. Give your answer correct to 3 significant figures. cm 3 (b) The surface area of a sphere is the same as the area of the sector. Solution Show Solution. 4 cm. The diagram shows part of a circle, centre O, radius 10 cm. Qno 4 Refer to Figure 8. Write down the. cm (3) (b) Calculate the area of the shaded segment ABC. (a) SRP (2mks). The area of the shaded sector OAB is 21. 100 or 100. Rajah 2 menunjukkan bulatan berpusat di O. Find i) The length of A B ii) The perimeter of the plate iii) The area of the plate 13. 3) The diagram shows a sector OAB of a circle, centre O and radius x metres. BED is an arc of a circle, centre A. (2 marks). (c) Find the length of AC, giving your answer to 2. By substitution, The length of an arc 2r(360) Length 2 x 3. The shaded region is bounded by the arcs AB and CD andbythelinesCA and DB. In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB 16 radians. OAB is a sector of a circle, centre O. The area of sector OAPBis cm2. Angle AOB 75. Angle AOB 65&176; Angle OCB 35&176; OA OB 8 cm. Angle AOB 0. It costs 2. The area of sector OABC is 3 4 and the length of arc ABC is 3 2 . Find the value of k and of . The angle OAB is radians. Leave your answer in terms of &92;pi . has centre Q and radius 2 cm. A circular arc with centre A meets the circumference at B and C. 22 The diagram shows a metal plate. Give your answer correct to 3 significant figures. 1 mark b. 14 x 7 x 40. 22 The diagram shows a metal plate. (b) The area of the sector is 25 cm 2. 4 cm. . xxx madre