Eligibility:

• In the diagram oab is a sector of a circle with centre o and radius r. Calculate the perimeter of the sector. (i) Find a in terms of lt. 8 cm, correct to 3 significant figures. B Write down expressions for the: area of the sector OAB: b. 22. Arc A is part of the circle with centre O and radius OP. The point is the midpoint of OA. Points A and B lie on the circumference of the circle and AÔB = θ, where 0 ≤ θ ≤ \(\pi \). 2(ii) In the case where r 1. (a) Show that the exact length of BC is r/5 - 213. a Show that R=3r. OAB is the sector of a circle, centre O, with radius 8 cm and sector angle 30°. 85 radian. Write down the exact value of in radians. The area of sector AOB is 20 mnr. 14 ) The diagram shows two arcs, A and B. Given that the area of the sector OAB is 10cm^2 , calculate (i) the angle AOB in radians, (ii) the perimeter of the shaded region. OA = 6 cm and AX is perpendicular to OB. Angle AOB=θ radians and OP=AP=x. Answer r = 6 cm 7. (i) Show that the length of PQ is 17. Given that the area of the sector AOB is 10 cm", find 4 cm 0 B i) The angle AOB in radians. 5 cm 2B. A tangent to the circle at A meets the line OB extended at C. Find the length of its arc subtending an angle of 144° at the centre. Example : A sector is cut from a circle of diameter 21 cm. Points A, B and C are on the circumference of the larger circle such that B O ˆ A is 3 π radians. In figure, shown a sector OAP of a circle with centre O, containing ∠ θ, AB is perpendicular to the radius OA and meets OP produced at B. OAC is a semicircle with diameter OA. The circle C, inside the sector, touches the two. Angle AOB is α radians and is such that AC divides the sector into two regions of equal area. It consists of a sector OAB of a circle centre O, of radius 6 cm, and angle AOB = π 3 A O B = π 3. A B is perpendicular to the radius O A and meets O P produced at B. Jan 29, 2021 · The diagram shows a sector OAPB of a circle, centre O. Find the value of r. Give your answer in suitable units. 7cm cm2 (3) cm2 (3) Give your answer correct to 2 decimal places. 5 < <n. To calculate this result, you can use the following formula: A = r² · α/2, substituting: r = 1; and. Please complete calculation yourself. Math. 1. OM is perpendicular to the chord AB. (i) Show that sin alpha cos alpha = 1/2 alpha. Area = 1 2 l r. Mar 26, 2023 · 19 Diagram NOT accurately dra OAB is a sector S of a circle with centre O and radius (r+7) metres. [2] OAB is a sector of the circle with centre and radius r, as shown in the following diagram. In the diagram, OAB is a sector of a circle centre O and radius 8 cm. Given that the area of triangle $\D ORS$ is one-fifth of the area of sector $\D OPQ,$ find The diagram shows a sector O A B OAB O A B of a circle with centre O O O and radius 2 2 2. Prove that the perimeter of shaded region is r [tan θ + sec θ + π θ 180 − 1]. Mar 9, 2023 · Question: The diagram represents a metal plate OABC, consisting of a sector OAB of a circle with centre O and radius r, together with a triangle OCB which is right-angled at C. Advanced Math questions and answers. Answer to Solved The diagram shows the sector AOB of a circle, centre | Chegg. D 0. (a) Show that OC =rcos e. (2) The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. Angle AOB is ! radians and is such that AC divides the sector into two regions of equal area. The mid-point of OA is P and ∠AOB= 0. OA = OB = 5. α = 90° · π/180° = π/2. (a) Find the length of the arc AB. (a) Find the area of the sector OAB. Figure 1 shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. [2] (a) Show that the exact length of BC is r 5 − 2 3 . (3) The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. [1 mark] b. Find α in terms of π. (2) (b) Show that the length of the chord AB is 5. I have no clue how to approach this. I'll write down the question but if anyone has an edexcel C2 book it is p. Find the area of the sector 5 The diagram shows a sector, POQ, of a circle, centre O, with radius 4 cm. (r + 7) m B A O 45° Diagram NOT accurately drawn OAB is a sector S of a circle with centre O and radius (r + 7) metres. (2 Marks) (4 Marks) Try focusing on one step at a time. (a) Calculate, in cm2, the area of the sector AOB. Find the central angle of the sector. OAB is a sector of a circle, center O, radius 8 cm. [2] (e) Find the exact area of the shaded region. [The surface area, A, of a sphere with radius r is Ar= 4r 2. The diagram shows a sector OAB of a circle with centre O. 6. Give your answer to 3 significant figures. O C A B arad In the diagram, OAB is a sector of a circle with centre O and radius 8cm. Angle AOB = 72° Calculate the area of the shaded segment APB. (a) Find the length of the arc ACB. (2) (b) Find the area of the shaded region. Area of shaded region: Dec 25, 2018 · We have been given, 1) circle with centre O & radius 12 cm 2)sector AOB with ,AOB = 60 0 Area of sector AOB - area of sector OAB = (area of circle - area of sector OAB) - area of sector OAB = area of circle - 2 area of sector OAB So, area of circle =πr2=π(12)2=452. 8 radians and the radius of the circle is 12 cm. Oct 30, 2021 · p 14 The diagram shows a sector, AOB, of a circle, centre O, with radius R cm and sector angle π /3 radians. 5 cm 2 The diagram shows a sector of a circle with radius rcm and centre O. 3 cm to 1 decimal place. 25 rad (ii) 25. 8cm. . AB is a chord of the circle. Find the perimeter of the complete figure in terms of u001f. The above figure shows a sector O A P of a circle with centre O, containing ∠ θ. The diagram shows two concentric circles with centre O. 39 cm2Area of sector OAB =θ360×πr2Where θ→angle subtended at centre of circle by arc r→Radius of the given circleArea of O A B is a sector of the circle with centre O and radius 12 c m s. The circle is divided into five equal sectors. i. +-40. (i) Show that sin!cos! = 1 2!. [3] (ii) Find the perimeter of the complete figure in terms of 0. [3 marks] c. A circle, centre C and radius r cm, touches the arc A B at T, and touches O A and OB at D and E respectively, as shown. a) find the area cal sector OAB giving your answer to 1 d. [3] Mar 9, 2023 · Question: In the diagram, OAB is a sector of a circle with centre O and radius 8cm. The chord AB divides the sector into a triangle AOB and a segment AXB. OKM is a straight line and ML is a tangent to the circle at L. An equilateral triangle BCO adjoins the sector. 4 cm. The common distance from the centre of the circle to its point is called the radius. [4 marks] . line AB is a tangent to the circle. (c) Find the length of AC, giving your answer to 2 decimal places. The radius of a circle with centre O is 5 cm (given figure). The point D is on BC and the circular are AD has center C (i) Find AC in terms of r andθ. In the diagram, OPQ is a sector of a circle, centre O and radius rcm. Find an expression in terms of r and for the perimeter of the plate. cm [3] (b) The surface area of a sphere is the same as the area of the sector. [4] It is given that the solution of the equation in part (i) is ! = 0. The point $\D R$ lies on $\D OP$ such that angle $\D ORS$ is a right angle. (2) (b) Find the area of the sector OAB. [1] (b) Find the area of triangle OBC in terms of r and 0. O!rad A B C r In the diagram, OAB is a sector of a circle with centre O and radius r. diagram not to scale The radius of the smaller circle is 8 cm and the radius of the larger circle is 10 cm. The point $\D S$ lies on $\D OQ$ such that $\D OS = 5$ cm. (a) Show that the are length AB is 2xθ cos θ. 12 B rad olan rad А The diagram represents a metal plate OABC. 5 cm, and AOB = 0. Question: The diagram shows a sector OAB of a circle with centre O. Angle LOK = 44°. If OD =4 cm, then find the area of the shaded region. The angle AOB is θ radians. Angle BOA is a radians. When length of the arc ( l) is given, then area of sector. Let A B be a sector of a circle with centre O and radius d, ∠ A O B = θ (< π 2), and D be a point on O A such that B D is perpendicular O A. b Show that areaofinnercircle/areaofsec tor = 2/3 . C Find the area of the shaded region. Find the areas of the segment made by the chord AB (Take π = 3. In the diagram, O A B is a sector of a circle with centre O and radius 2 r, and angle AOB = 6 1 π radians. The length of the arc AB is 8cm. 8cm 15cm 8 cm. Seg AB, seg AC are tangent segments. 2 radians. Aug 15, 2019 · radians. Mar 7, 2012 · 2 OAB is a sector of a circle with centre O and radius 9 cm and ·AOB = 40°. asked • 08/28/19 OAB is a sector of a circle of radius 8cm and centre O. (i) Show that the distance AC = 7. 8 radians. 8 rad B с 6 cm The diagram shows a sector AOB which is part of a circle with centre and radius 6 cm and with angle AOB - 0. The angle The area of the sector of a circle of radius 10. Advanced Math. Find the value of θ \theta θ. [2] (ii) Find the perimeter of the shaded region. [4] 78F Sunny Question. The point C is the midpoint of OA. The area of the sector is 12cm^2. 4. (i)Show that the area of the sector ,\(Acm^{2}\) is given by \(A=12r-r^{2}\) (ii)Express A in the form \(a-\left ( r-b \right )^{2}\),where a and b are constants. the expression for the length of PB. [2] (ii) The area of triangle OAB is 3 1 of the area of sector OXY. Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. 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. 2 cm. Here’s the best way to solve it. Angle AOB is 1 radians. Thus, the circle is defined by its centre (o) and radius (r). The tangent to the circle at Q meets OP extended at R. 10 31 C) The diagram shows a major sector of a circle with radius 3. 12) 8 (b) Find the exact perimeter of the shaded region. Dec 5, 2023 · Divide OPQ into 5 equal sectors by drawing radii from O to points on PQ. The line CD is parallel to AO and angle \(AOC = \Theta \)radians. [2] (ii) In the case where r = 8 and 1 = 2. See More. Find the area of the shaded region, in terms of θ . The lines PX and QX are tangents to the circle at P and Q, respectively. Given, the radius of circle with centre O is r. 9477 The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. 12 cm A P B 75º O diagram not to scale (a) Using the cosine rule, show that the length of AB is 12 75cos–12. The area of sector S is twice the area of circle C Find the value ofr Show your working clearly. The chord AB divides the sector into a triangle AOB and a segment AxB. b) find the area of the sector OAB. =. Angle AOB = radians and og is perpendicular to OA. 3. Arc AB subtends an angle 0 radians at O. The line AC shown in Figure 1 is perpendicular to OA, and OBC is a straight line. Notice that this is also a quarter of the area of the whole circle. CALCULATE A) the length of the arc AB ~~~~~ the length of the arc AB = . (3) (Total 5 marks) 2 The diagram shows a sector OAB of a circle with centre O and radius 20 cm. e с A i. a. jakeharris02 Aug 15, 2019. a b Find the length of PX. are based on the following passage. 1 the area A A of the sector can be written as: A = 12 rs A = 1 2 r s. ii. " Sorry its hard to Question: Question 3 The diagram shows a sector AOB of a circle, centre O, radius 4 cm. TheareaofthesemicircleOAC istwicetheareaofthesector OAB. Radius of the circle is r and l(AB) = r , Prove that, ABOC is a square. Here’s the best way to Aug 21, 2021 · The diagram shows a sector $\D OPQ$ of a circle with centre $\D O$ and radius $\D x$ cm. The. the angle between the radii OA and OB is θ radians. The area of the sector is 40 cm 2. (1) Find an expression in terms of rand o for the perimeter of the plate. Angle BOA is α radians. 5 cm is 69. (i) In the case where the areas of the triangle AOB and the segment AxB are equal, find the value of the constant p for which θ=psinθ. (a) Show that the exact length of BC is r5-2322. (a) Calculate the total perimeter of the sector. AngleQOP θradians. 5 cm and length of its arc is 2. Find the length of the the chords. iii. 5 cm. 3) The diagram shows a sector OAB of a circle, centre O and radius x metres. One sector is OAB, and AÔB = 0. Work out the length of arc . Angle AOB is θ radians. OAB is a sector a circle with centre O and radius 8 cm. The diagrams br diagram shows the sector OAB of a circle with centre os radius rom, and angle 1. Divide OAB into 5 equal sectors by drawing radii from O to points on AB. Angle AOB=3πC is a point on OA with OC=4 cm and D is a point on OB such that OD=6 cm Calculate the area of the region bounded by AC,CD,DB and and the arc AB. Find the area of the sector. (2) A piece of wire of length 24cm is bent to form the perimeter of a sector of a circle of radius r cm. centre O, of radius 6 cm, and angle AOB = . Angle POQ is 2. Choose the option. O K M L 8 cm In the diagram OKL is a sector of a circle, centre O and radius 8 cm. 84 q. [4] Sep 16, 2022 · For a sector whose angle is θ θ in a circle of radius r r, the length of the arc cut off by that angle is s = rθ s = r θ. The triangle ABC, shown in the diagram, is such that AC = 8 cm, CB = 12 cm and angle ACB = q radians. ∠ P O A = θ. (ii) Hence express the area of the sector in terms of r. consisting of a sector OAB of a circle with centre and radius r. the area of the shaded region. The radius of the circle is 6 cm and the angle AOB is 1. Geometry questions and answers. ] The shape shown in Figure 2 is a pattern for a pendant. It is given that the perimeter of the sector is 20cm. Find the area of the shaded region. 20. [2] (ii) In the case where θ 0. (2) (b) Find the perimeter of the sector OAB. Find: i. 2. In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB = 61π radians. the diagram shows a sector OAB of a circle with centre O and radius 5cm. It consists of a sector OAB of a circle. The radius of a sector of a circle is 3. 24. (2) The line AC shown in the diagram above is perpendicular to OA, and OBC is a straight line. The sector angle is 53°. The circle C, inside the sector, touches the two straight edges, OA and OB, and the arc AB as shown. In the given figure, O is the centre of the circle. Let E be the midpoint of B D and F be a point on the arc A B such that E F is parallel to O A. Find (a) the area of the sector 04B, (2) (b) the radius of the circle C. Question 1-. Calculate the area shaded in the diagram. You need to use the equation that gives the perimeter of sector of circle of `x^o` , such that: `p = 2r + (x^o*pi*r/180^o)` You need to convert the radians into degrees, such that: `x^o The diagram shows a sector OAB of a circle with centre O. (iii) In the case where r 8, find the length of the chord PQ. 4. Solving time: 4 mins. In the diagram, AOB is a quarter circle with centre O and radius r. OAB is a sector of a circle, centre O. (3) The region outside the circle C and inside the sector 04B is shown shaded in O 8 cm A B The diagram shows a sector of a circle with centre O, radius 8 cm and sector angle 165°. (i) Show that 2. Angle AOB = 1. BC is perpendicular to OA. 3 [2] [3] (b) Find in terms of , the perimeter P of the sector. 12) OAB is a sector of a circle with centre O and radius 7 cm. Part of the square is shaded and labelled R. 3. 7 radians. OPQ is the sector of a circle having centre at O and radius 15 cm. Find AB [3 marks] In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB=16π radians. Then the ratio of length of the arc A F to the length of the arc A B is Sep 16, 2022 · 3. The area of a circle is 25π sq. An inner circle of radius r cm touches the three sides of the sector. The area of sector S is twice the area of circle C Find the value of r Show your working clearly. 06 cm, to 3 significant figures. [4] (a) Find the perimeter of the shaded segment. A circle with centre O has radius r cm. The point C is the midpoint of O A. Transcribed image text: 4. A circle is a locus of points equidistant from a given point located at the centre of the circle. 3 days ago · The area of a sector with a central angle α = 90° of a circle with radius r = 1 is π/4. Solution : We have, Diameter = 21 cm radius = 21 2 cm. Angle AOB = θ radians and OC is perpendicular to OA. (2) The line AC shown in Figure 1 is perpendicular to OA, and OBC is a straight line. The diagram shows a sector OAB of a circle with centre O and radius rcm. [Maximum mark: 5] The diagram shows a sector AOB of a circle with centre O and radius r. The point C lies on the arc AB and the point D lies on OB. A circle is also defined by two of its properties, such as area and perimeter. 8 and r 15, evaluate the length of the perimeter of the shaded region. 0. 4 cm O P X. The circle C, inside the sector, touches the two straight edges, OA and 0B, and the arc AB as shown. The tangents to the circle at A and at B meet at P. 1 4. A circle cantre C and radius r cm, touches the arc AB at T, and touches OA & OB at D and E respectively, as shown. 18. (2) The diagram below shows a circle, centre O, with a radius 12 cm. The diagram shows a sector of a circle with radius 7cm. Calculate the radius of the sphere. a Write down, in terms of R and r, the length of OC. The chord AB subtends at an angle of 75° at the centre. cm2 (Total for Question 2 is 2 marks) 3 Find the size of the exterior angle of a regular 12-sided polygon. 5 cm NOT TO SCALE 53° The diagram shows a sector OXY of a circle with centre O and radius 9. M is the midpoint of the chord AB. 7cm^2 The diagram shows a sector OAB of a circle with center O and radius r. (b) Find the area of the sector OAB. Calculate the area of the region shaded on the diagram. Prove that the perimeter of shaded region is r [tan θ + sec θ + π θ 180 0 − 1]. 5a. Jun 7, 2017 · The diagram shows an isosceles triangle AOB and a sector OCDEO of a circle with centre O. Area of a Sector Formula. 1213. If the angle of the sector is 150, find its area. 10 In the diagram O A B is a sector of a circle, centre O and radius R cm, and ∠ A OB = 2 θ radians. . Angle BOA is ! radians. Area of each small sector: Let r be the radius of the circle. 5 cm 2D. Hard. the length of the arc AB is 4cm. (i) Express the perimeter of the shaded region in terms of r,\(\Theta \)and \(\Pi\). Angle of sector = 150. Also find the area of the corresponding sector. Thus: A = (1² · π/2)/2 = π/4. Step 1. A lies on OX, B lies on OY and OA OB= . Prove that: (i) Perimeter of the shaded region is r (t a n θ + s e c θ + π θ 180 − 1) (ii) Area of the shaded region is r 2 2 (t a n θ − π θ 180) Distance between equal chords, A B and C D of a circle with centre, O and radius, 5 c m is 8 c m. area of the triangle BCO; length of the arc AB. Area of sector OAB = 1/5 * π * r^2. The following diagram shows a circle, centre O and radius r mm. Angle Subtended by an Arc of a Circle on the Circle and at the Center. The triangle AOB is equilateral and has perpendicular height 5 cm. Figure shows a sector of a circle, centre O, containing an angle θ ∘. Question. Find angle POQ, in radians. O A B X Y 9. diagram not to scale B r O TT The angle AOB is 8 radians, where 0<O< 2 The point C lies on OA and OA is perpendicular to BC. 7 (i) 1. then, length of the arc ˆ P A = 2 π r θ 360 ∘ = π r θ 180 ∘ And t a n θ = A B r AB = r t a n θ And s e c θ = O B r O B = r s e c θ Now, P B = O B − O P = r s e c θ − r ∴ Perimeter of shaded region = A B + P B + ˆ P A = r [t a n θ + r s e c θ − r + π r θ Roycee I. There are 3 steps to solve this one. the length of the arc AB. OAC isasemicirclewithdiameterOA. The diagram shows a sector of a circle, centre o, radius 8 cm. 3 straight edges, OA and OB, and the arc AB as shown. Show transcribed image text. cm. The length of arc PQ is 7 cm. 5 cm 2C. "in the diagram OAB is a sector of a circle, centre O and radius R cm, and <AOB = 2 theta radians. The area of the semicircle OAC is twice the area of the sector OAB. 4 radians. On a circular table cover of radius 42 cm, a design is formed by a girl leaving an equilateral triangle ABC in the middle, as shown in the figure. Angle BOA is α radians, where α is π/4. If m ∠ A O B = 60 o , find the difference between the areas of sectors A O B and O A B . ii) The perimeter of the shaded region. Angle $\D POQ$ is 0. Thus, by Equation 4. the area of the sector OAB, the radius of the circle C. View Solution the radius of the sector and its angle. OACB is a quadrant of a circle with centre O and radius 7 cm. Oct 25, 2021 · Question 63 Circular Measure The diagram shows a sector POQ of a circle of radius 10 cm and centre O. The arc CD is part of a circle with centre O, where D lies on OA. The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. 10 as there is a diagram there. Sem 10√3 (a) Show that the radius of the sector is cm. 2Answer(c) cm [5] • sector OFE is congruent to sector OAB • ODC is a sector of a circle centre O and radius 2r • AOF is a straight line Given that the size of angle COD is θ radians, (a) write down, in terms of θ, the size of angle AOB (1) (b) Show that the area of the logo is 1 2 r2 (3θ + π) (2) (c) Find the perimeter of the logo, giving your answer Question: 7 Exrad B 2r In the diagram, OAB is a sector of a circle with centre and radius 2r. View Solution It consists of a sector OAB of a circle centre O, of radius 6 cm, and angle AOB = —. together with a triangle OCB which is right-angled at C. (1 mark) b Using OCE, show that R sin θ = r (1 + sin θ). Angle AOB = 45° A circle C has radius (r − 2) metres. a) find the value of θ. Show that the area enclosed by the two arcs is equal to 25 (√ 3 − π 6) c m 2 The diagram above shows the sector AOB of a circle, with centre O and radius 6. The angle POQ is radians and the perimeter of the sector is 20 cm. com Figure 1 shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. 37 (O Corbettmaths 2024 Jun 2, 2010 · Core 2 Mathematics Edexcel June 2010 Question 6. 8cm 2900 Find the area of the major sector. The shape shown in Figure 1 is a pattern for a pendant. Calculate the area, in cm2 to 3 significant figures, of the sector OAB. The perimeter of the sector is four times the length of the arc AB. The tangent to the circle at A meets the line OB extended at C. (ii) Find the perimeter of the complete figure in terms of lt. Area of sector OPQ = 1/5 * π * r^2. c. (c) Find the length of AC, giving your answer to 2 The diagram shows a circle, centre O, with radius 4 cm. Note: The central angle θ θ that intercepts an arc is sometimes called the angle subtended by the arc. Diagram not drawn to scale. Angle AOB=56º. The diagram shows a sector of a circle of radius 7 cm. The arc length of the sector is 15 cm. Find the radius of the circle C. Calculate OA. The diagram shows a sector of a circle with radius rcm and centre O. Dec 2, 2022 · In the diagram, OAB is a sector of a circle with centre O and radius r. The rest of the condition is irrelevant to this problem. (i) Show that the area of the sector is . p. (i) Show that the area, Acm2, of the shaded region is given byA 1 2 r2(tanθ θ). (i) In the case where the areas of the triangle AOB and the segment AXB are equal, find the value of the constant p for which 1 = psin1. Area = θ 360 × π r 2 = π r 2 θ 360. θ r −. The point Con OB is such that AC is perpendicular to OB. A sector of the circle, which has an angle of ? radians at O, has perimeter 6 cm. c417m 2, correct to 1 decimal place. [7 marks) Diagram not to scale a. The diagram shows the sector OPQ of a circle with centre O and radius r cm. Show all working. 3 cm 2. Give your answer correct to 3 significant figures. Mar 13, 2024 · The diagram shows a sector OAB of a circle, centre O and radius 4 cm. A. The point C on OB is such that angle ACO is a right angle. A chord PQ is 10 cm long in a circle of radius 7 cm. QR is an arc of a circle with centre P and POR is a straight line. [4] 4 Question: 2. 800 Work out the area of the sector. The point C is the midpoint of OA. Click here for a printable PDF of this question. Calculate the area of the sector. (i) Find ! in terms of 0. In the diagram, OAB is a sector of a circle with centre O and radius 8 cm. The angle A O B AOB A OB is θ \theta θ radians and the perimeter of the sector is 6 6 6. D AÔB = 0, where0. Geometry. (2) (b) Find the length of BP. Angle AOB=45° A circle C has radius (r-2) metres. Calculate (a) The angle it Sep 26, 2023 · The diagram shows a sector OAB of a circle with centre O. 4 The given diagram shows a square inscribed in a circle with centre O The radius of the circle is 6 cm The perimeter of the shaded region can be written as (p π + q) centimetres Then the value of p and q respectively is _____ The diagram shows a sector OAB of a circle with centre O and radius r cm The angle AOB is q radians The area of the sector is 12 cm2 The perimeter of the sector is four times the length of the arc AB Find the value of r. Find. and angle AOB = fx radians. The point Con OA is such that BC is perpendicular to OA. Angle AOB is θ radians. The length of the arc AB Is 8cm. Two radii OA and OB are drawn at right angles to each other. yy bv ne ab vf ro sm ks wu lr