The chord AB divides the circle intop a minor segment (the shaded region) and a major segment. 2 cm 75° O B A The diagram shows a sector OAB of a circle, centre O. 8 radians, find. Angle ABC = 128°. and C2, touching at the point T. 8 cm, calculate the angle of the sector and the area enclosed by this sector. (i) Find the perimeter of the shaded region. One sector is OAB, and. (3 marks) (ii) The perimeter of the sector OAB is equal to the perimeter of a square. 20 may 2021. Given that the perimeter of the sector is 31. The angle BO. Part of the square is shaded and labelled R. A 1? B 1?, A 2? B 2? are all arcs of circles with centre O. The diagram shows the major sector OABof a circle, centre O, radius 6. The point C is the midpoint of OA. Calculate the shaded area. (2) (b) Find the length of BP. 8 radians. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. Show that theta lies between 0. 18 Workings: m Marks = 3 Question 2 The diagram shows the sector of a circle with centre The radius of the circle. (c) Find the length of AC, giving your answer to 2 decimal places. The area of sector AOB is 20π mm2 20 π m m 2. 5 < <n. Angle AOB = 72° Calculate the area of the shaded segment APB. OA = OB = 12 cm. 2 cm. In the diagram, note that the angle subtended at the centre of the circle by the major arc is. The diagram shows a sector OAB of a circle, centre O, radius 4 cm. (2) (b) Find the area of the sector OAB. (a) Calculate the length of the arc ABC of the sector. The area of sector is A cm2 and. Let ƒ (x) = asin b(x−c). One sector is OAB, and ! (a) Write down the exact value of θ in radians. Diagram shows sector OAB with centre at O and sector AXY with centre at A. 6 cm. (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 = 6/x. The diagram shows a sector, OAB, of a circle with centre O and radius r, such that AÔB = 0. Guest Apr 1, 2017 1 Answers #1 +124577 +2 Don't see any image. (a) Show that the exact length of BCis r ˜ 5− 2 3. Transcribed image text: The diagram below shows the sector of a circle OAB, with centre O. and centre O. Find the length of arc ADC. It costs £2. a) find the area cal sector OAB giving your answer to 1 d. Write down the exact value of θ θ in radians. 4 cm. 7 radians. To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. (a) area of major sector AOB,. (c) Find the length of AC, giving your answer to 2 decimal places. 9 cm. a Find the perimeter of the sector in centimetres to 1 decimal place. Find the area of the shaded region. a) the length of the arc BC b) The area of the sector ABC. the diagram shows a sector OAB of a circle with centre O and radius 5cm. Transcribed image text: The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. (b) The perimeter of the shaded area. Solution Show Solution. (a) Find the length of the arc AB. 12 A 11 cm O 0. The diagram shows a metal plate. Give your answer correct to 3 significant figures. Area of a sector of a circle = (θ × r 2 )/2 where θ is measured in radians. 1 See answer Advertisement asuwafohjames Answer: 4. Angle BOA is ! radians. (b) Find the area of the sector OAB. Part of the square is shaded and labelled R. AB is a chord of the circle. The area of triangle OAB is 13 of the area of sector OXY. The above diagram shows a sector of a circle, with centre O and a radius 6 cm. (b) The perimeter of the shaded area. Find an expression, in terms of x, in its simplest form for angle ∠ ACB answer choices 90 - 2x 90 - 4x 180 - 2x Question 5 180 seconds Q. e с A i. 44 cm² Step-by-step explanation:. In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB = 1/6 π radians. Give your answer correct to 3 significant figures. The following diagram shows a circle with radius r and centre O. In the diagram, A is a point on the circumference of a circle with centre O and radius r. Give your answer. 4 radians. (a) Calculate the length of BC. (a) Show that θ =. Calculate the perimeter of the sector. 3 radians and angle AOC = 0. The area of R is 22cm^2 1. 10 The diagram below shows the speed-time graph of a scooter. 4 radians. a Find the perimeter of the sector in centimetres to 1 decimal place. AB is a chord of the circle. (a) Find the length of the arc AB. The area of the sector OAB is 180 cm. Show that theta lies between 0. AOˆ B = θ. b) find the area of the sector OAB. diagram not to scale The radius of the smaller circle is 8 cm and the radius of the larger circle is 10 cm. [4] 8 (i) Given that log9 x = a log 3 x, find a. The diagram shows a sector, OAB, of a circle with centre O and radius r, such that AÔB = 0. (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 = 6/x. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. Let ABbe a diameter of a circle with centre O, and let Pbe any other point on the circle. Jun 3, 2021 · The diagram shows a sector OAPB of a circle, centre O. Prove that. the diagram shows a sector OAB of a circle with centre O and radius 5cm. Find the value of r and of θ. A Y X O B Given that OB = 10 cm, AY = 4 cm, XAY = 1. (2) (b) Find the area of the sector OAB. Thus every diameter of the circle is an axis of symmetry. cm2 (Total for Question 19 is 5 marks) Diagram NOT. It is no surprise that equal chords and equal arcs both subtend equal angles at the centre of a fixed circle. Work out the length of the arc AB. The diagram shows a sector, OAB, of a circle with centre O and radius r, such that AÔB = 0. It indicates, "Click to perform a search". [3 markah] Calculate the area, in cm2of sector OAB. Diagram shows sector OAB with centre at O and sector AXY with centre at A. Close suggestions Search Search. OAB is a sector of a circle, centre O. The scooter travels at a constant speed of x m/s for the first 5 seconds before accelerating from x m/s to 35 m/s in the next 5 seconds. 4 radians. The result for chords can be proven using congruent triangles, but congruent triangles cannot be used for arcs. Find the perimeter of the sector. Give your answer to one decimal place. The circle C, inside the sector, touches the two straight edges, OA and 0B, and the arc AB as shown. a) find the area cal sector OAB giving your answer to 1 d. Transcribed Image Text: 24. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. The diagram shows a sector OACB of a circle with centre O. [3 marks] c. Calculate the perimeter of sector OAB. Part of the square is shaded and labelled R. In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB = 1/6 π radians. OA = 3. (a) Find the length of the arc AB. Give your answer correct to 3 significant figures. The diagram shows a sector AOB of a circle with centre O. O is the centre of the circle which has a radius of 6 cm. In the diagram, A is a point on the circumference of a circle with centre O and radius r. [3 marks]. In the diagram, AOB is a sector of a circle with centre O and radius 12cm. The following diagram shows a circle of centre O, and radius r. (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 = 6/x. The diagram shows a circle, centre O. The diagram shows a sector OAB of a circle, centre O, radius 4 cm. (c) Find the length of AC, giving your answer to 2 decimal places. Give your answer correct to 3 significant figures. and C2, touching at the point T. Give your answer correct to 3 significant figures. Angle AOB = 72° Calculate the area of the shaded segment APB. OABis a sector of a circle with centre Oand radius 7 cm. Calculate the radius of the sphere. The length of the arc AB is 24 cm. 14 x 7 x 40/360 = 4. A B O 12 cm rad 3 2r The diagram above shows a sector OAB of a circle, centre O and radius 12 cm. 7 radians. 34 cm2 = 30 × 180° area of the shaded region = 0. The diagram shows two circles, C1. ) b. 5 cm. One sector is OAB, and A^OB= θ A O ^ B = θ. The shaded region is bounded by the circumference of the circle and the arc with centre A joining B and C. (ii) Show that 9 lies between 0. Find (a) the perimeter of the region ADB, marked P, (b) the area of the region ABC, marked Q. The following diagram shows a circle, centre O and radius mm Muskingum County. In the diagram, OAB is a sector of a circle with centre O and radius 2r, and angle AOB = 1/6 π radians. The points C and D lie on OB and OA respectively and CD is an arc of the circle with centre O and radius 6 cm. A semi-circle with centre C and radius 9 cm is drawn inside the sector such that OA is the tangent to the semicircle at D. Angle AOB = 65° Angle OCB = 35°. a tangent to both circles. AB is a chord of the circle. 7 radians. 44 cm² Step-by-step explanation:. (b) Find the area of the sector OAB. O A B C In the diagram, OABis a sector of a circle with centre Oand radius 2r, and angle AOB= 1 6 π radians. Find the value of r. Figure 1 shows the sector OAB of a circle with centre O, radius 9 cm and angle 0. The angle AOˆB = q. Calculate the sum to infinity of the arc lengths A B + A 1? B 1? + A 2? B 2? + A 3? B 3? +. Write down the exact value of θ θ in radians. Find A (a) length of arc AB (b) length of arc AC (c) area of sector AOB (d) area of sector AOC (e) perimeter of sector OAB. (a) Find the length of the arc ACB. Find the value of. (a) Find the length of the arc AB. 2) Answer : [4 marks] [2006, No. and C2. 0 to 100. The angle OAB is $θ$ radians. 3 cm. [2] (ii) Find the exact area of the shaded segment enclosed by the arc AB and the chord AB. (Total 6 marks) 11. (a) Calculate the length of the arc ABC of the sector. The metal plate is made from a sector OAB of a circle, centre O, and a triangle OCB. the diagram shows a sector OAB of a circle with centre O and radius 5cm. 1 final answer. The acute angle AOB is 70^o. 8 rad Il cm The diagram shows a triangle ABC, and a sector ACT) of a circle with centre A. The shaded region is bounded by the circumference of the circle and the arc with centre A joining B and C. Given that the area of the sector is 38. Find (i) ∠AOB (ii) the area of the shaded segment. In Fig. b) find the area of the sector OAB. Give your answer correct to 3 significant figures. Sam measured the value of r to be 2cm and the value of O to be 300 (a) Use Sam's measurements to calculate the area of the sector. Area of the circle Area of the sector OAB = = Area of sector AOB can be calculated as Area of the Circle -. Calculate the volume of the cone. Angle = θ r= 1. A circle has the equation x^2+y^2-4x+6y-12=0 and i have already found that the centre has a coordinate of (2,-3), and a radius of 5 units. A 1? B 1?, A 2? B 2? are all arcs of circles with centre O. The following diagram shows a circle with radius r and centre O. The diagram shows a sector OAB of a circle, centre O and radius 10 cm. (c) Find the length of AC, giving your answer to 2 decimal places. 7 radians. PR is a chord of the circle. Close suggestions Search Search. OAC is a sector of a circle, centre O, radius 10 m. 6 cm2. Angle AOB is 9 radians. (a) Using s = rθ we have 15 = 10θ and so θ = 15 10 = 1. AB is a chord of the circle. AB is a chord of the circle. The mid-point of OA is C and the line through C parallel to OB meets the arc AB at D. The line AC shown in Figure 1 is perpendicular to OA, and OBC is a straight line. The point C is the midpoint of OA. Jun 3, 2021 · The diagram shows a sector OAPB of a circle, centre O. etienne waite arm wrestling losses, skullcandy replacement ear pads
cm 2 (Total 2 marks) 2. . The diagram shows a sector oab of a circle with centre o
7 radians. the diagram shows a sector OAB of a circle with centre O and radius 5cm. The area of the shaded region is equal to half the. Calculate the area of. (Total 6 marks) 12. [2](ii) Find angle RPQ in radians correct to 4 significant figures. (i) Radius of circle = 'r' cm. suppose we want to find (a) The angle θ, (b) The area of the sector OAB, (c) The area of the minor segment (shaded). The diagram shows sector OABof a circle, centre O, radius 15 cm. The area of sector OABC is π and the length of arc ABC is π. (a) Find the length of the arc AB. Calculate the area of the sector. O A B C In the diagram, OABis a sector of a circle with centre Oand radius 2r, and angle AOB= 1 6 π radians. (11) Area of shaded region = axars OAT - as sector OAB. cm (3) (b) Calculate the area of the shaded segment ABC. Give your answer correct to 3 significant figures. Give your answer correct to 3 significant figures. 24)The diagram shows a sector OAB of a Diagram NOT accurately drawn circle, center O. 7 The diagram shows sector OAB of a circle, centre O. (Total 6 marks) 11. 4 cm. 0 to 100. 2 O 7. 8 radians, find the ratio of the area of the segment, shown shaded in the diagram, to the area of the circle. The line OT cuts the circle at the point Q. The shaded region is bounded by the circumference of the circle and the arc with centre A joining B and C. Give your answer correct to 3 significant figures. [6] (iii) Find the area of the shaded region. The area of the sector OAB is 180 cm. The diagram shows the sector OAB of a circle of radius 9. Angle AOB = 50° Sector OAB has area 20π cm2 Calculate the perimeter of sector OAB. (a) area of major sector AOB,. The diagram shows a semi-circle centre O and radius 4 cm. Turn over 24 The diagram shows sector OAB of a circle, centre O. The following diagram shows a circle with radius rand centre O. The diagram shows a sector OXY of a circle with centre O and radius 9. Calculate the radius of the sphere. The radius of the circle is 15 cm. (b) Find the area of the sector OAB. 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) Calculate the total perimeter of the sector. Give your answer correct to 3. The diagram shows a sector of circle of radius 'r' can containing an angle 𝜃. respectively, and RS is. Calculate the radius of the sphere. shows a sector of a circle, centre O. OA = 3. (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 = 6/x. O T A Diagram not to scale If OA = 12 cm, and the circle has a radius of 6 cm, find the area of the shaded region. AB is a chord of the circle. Calculate the perimeter of the shaded segment. Steps 1 and 2 of the planning process should take around 5 minutes. D AÔB = 0, where0. (b) Calculate the length of the minor arc ACB. [1 mark] b. A circular arc with centre A meets the circumference at B and C. (Ans : 26. Give your answer correct to 3 significant figures. The area of the shaded region is equal to half the. Show Answers. If radius OA is 5 cm, and ∠AOB = 130⁰, calculate the. (Total 4 marks) 6. O A B C In the diagram, OABis a sector of a circle with centre Oand radius 2r, and angle AOB= 1 6 π radians. com In the diagram, OAB is a sector of a circle. diagram shows a triangle OAB in which angle OAB = 90o and OA = 5 cm. Angle AOB=75 ° Length of arc AB=7. The diagram shows the sector OAB of a circle of radius 9. If the radius of the circle is 8cm calculate: (a) The area of the shaded area. In the above diagram, find the area of the sector OAB. Angle AOB is θ radians. This may be useful in Game AI when moving around a solid object in. 6 m. (c) Find the length of AC, giving your answer to 2. Find the value of r and of θ. The diagram shows a sector of a circle with centre O, radius 8 cm and sector angle 165. The area of the sector is 112𝜋 𝑐𝑚 2. QR is an arc of a circle with centre P and POR is a straight line. 4 cm. Find the area of the square. 7 The diagram shows sector OAB of a circle, centre O. The length of the arc AB is 4r. The angle of the sector is 150°. Work out the area of the sector. Find the value of r and of θ. Arcs, sectors triangle trig Review arcs, sectors, triangle trig review there is vertical tower ta of height 36 at the base of hill. The circle is divided into five equal sectors. Transcribed image text: The following diagram shows a square ABCD, and a sector OAB of a circle centre 0, radius r. Angle AOB is θ radians. Angle =50°Sector has area 20𝜋cm2 Calculate the perimeter of sector. Question: Diagram NOT ac The diagram shows a sector of a circle, centre O, radil The arc length of the sector is 15cm. In the diagram below, O is the centre of the circle of radius 8cm. OAB is the sector of a circle, centre O. O 1,6 3,2 1,2 y= 6 x The diagram shows part of the curve y= 6 x. of a circle with centre 0, where I lies on OA,. 791) (b) the area of the shaded region. (b) Find the area of the sector OAB. (a) Show that θ =. The diagram shows the speed–time graph for the final 40 seconds of a car journey. The area of triangle OAB. The area of the sector is 40 cm 2 Calculate the perimeter of the sector. The radius of the circle is 15 cm. asked Aug 6, 2018 in Mathematics by avishek (8. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. The diagram shows a sector OAB of a circle, centre O. Let the radius of the circle be r cm and the arc AB of length 5π cm subtends angle θ at the centre O of the circle. com In the diagram, OAB is a sector of a circle. . hypnopimp