Diagram NOT accurately drawn The diagram shows a sector of a circle, centre O, radius 10 cm. The angle of the sector is 1.6 radians and the area of the sector is 500 cm$\D ^2 .$ (i) Find the value of $\D r.$ [2] (ii) Hence find the perimeter of the sector. 2. Many thanks. Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. O. is the centre of the circle which has a radius of 5.4 cm. Calculate the area of the sector. A pet food company wants to make a new size of tin. The straight edges are brought together to make a cone. (4 Marks) B. The radius of the circle is 6cm. The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector. This is, of course, *less* than the circumference that would be formed by the circle created with a 10 cm (slant height) circle. OAB. The circumference of the circle is equal to. Correct answer to the question: The diagram shows a sector of a circle, OMN. Show that . A circle has a radius of 6 cm. The diagram shows a sector of circle of radius ‘r’ can containing an angle θ. A sector has an arc length of 8.4 cm. (2) The line AC shown in the diagram above is perpendicular to OA, and OBC is a straight line. 1 radian Find the perimeter of the shaded region. The angle at the centre of the circle is 40 degrees. The first diagram shows a cylindrical block of wood of diameter 24 cm and height 10 cm. ..... m [3] 17 2018 05804218 [Turn over (b) NOT TO SCALE 10 cm 36 cm A solid metal cone has radius 10 cm and height 36 cm. Write down, in terms of R and r, the length of OC. we have . substitute. b.) O, radius 10 cm. (b) Find, in cm, the perimeter of the sector OAB. The diagram shows a large tin of pet food in the shape of a cylinder. Points D and E lie on and respectively and DE is parallel to AB. (Total 4 marks) 11. Calculate the value of θ. The vertical height h of the cone is equal to the radius r of its base. The diagram shows a sector of a circle of radius $\D r$ cm. Calculate: b) the radius of the ba - the answers to estudyassistant.com i) Angle PTQ = ∝ radians. The radius of the circle is 9cm. The area of the sector is 15 cm2 and AOB = 1.5 radians. Hence express the area of the sector in terms of . The arc length of the sector is 15 cm. i. The arc length of the sector is 15 cm. Angle AOB is theta radians. Find the value of r. r' 20-2r —ar . The diagram above shows the sector OAB of a circle of radius r cm. Find The Perimeter Of The Sector. And therefore the base radius is equal to the slant height divided by sq.rt. iii. (2) Give your answer in terms of pi in its simplest form. 1 radian. a) find the length of the arc PQ, giving the answer as a multiple of π . Hits: 1158 Question The diagram shows a circle touching a circle at a point . Hits: 37 Question The diagram shows a sector POQ of a circle of radius 10 cm and centre O. In the case where , find the length of the chord […] Guest Apr 1, 2017. A sector of a circle with radious 10cm has central angle 72 degree . The diagram shows a circle of radius 5 cm. 10cm 10cm h r Working: Answer:..... (Total 4 marks) 2. 1B Math SL Year 2 2. i. In the diagram, AYB is a semicircle with AB as diameter and OAXB is a sector of a circle with centre O and radius r. Angle AOB = 2 radians. December 7, 2020. by your tutor. The perimeter of the sector is 20 cm. Leave your answer in … ? The point C lies on OB and iss such that AC is perpendicular to OB. The angle at the centre of the sector is θ. ..... cm 2 (Total 2 marks) 2. The area of the shaded sector . Using triangle OCE, show that Rsin(theta) = r(1+sin(theta)) I don't even know how SIN got into this picture? [4] 0606/01/O/N/07. Calculate the area of the sector. QR is an arc of a circle with centre P and POR is a straight line. ii. Find the perimeter of the sector. Give your answer in suitable units. a) Find, as a multiple of t, the arc length of the sector. So find the area of the sector ? The area of the shaded sector 04B is 21.6 cm . Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. QR is an arc of a circle with centre P and POR is a straight line. (a) Find the length of the arc AB. Calculate the height of the new tin. Arc Length and Sector Area – Exam Questions 1. Give your answer correct to 3 significant figures. ----- I did that, correctly, as R-r. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. The Sector Of A Circle Of Radius V10 Cm Contains An Angle Of V5 Radians. Answer to: The diagram shows a sector of a circle, center O, radius 10 \ cm. The arc CD of a circle has centre B and the point D lies on AB. The diagram shows a sector of a circle, centre O. QUESTION 10 The diagram shows a sector of a circle, centre o, radius 10 cm.The arc length of the sector is 15 cm. Angle POQ is 2.2 radians. Answer: cm (Total 4 marks) (Total 4 marks) O is the centre of the circle which has a radius of 5.4 cm. The angle POQ is radians and the perimeter of the sector is 20 cm. The angle MON is 2x radians with radius r and center O. The angle of the sector is 30°. Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. 0. (a) (b) 20-2r Show that -Ron The area of the sector is 25 cm . (3 marks) 2. i. Working: B Answer: 6. One of the (c) Find the length of AC, giving your answer to 2 decimal places. Prove that (i) θ = (360/ π) (25/r−1) (ii) A = 25r – r 2 Find an expression, in terms of r and , for the area of the shaded region. Get the answers you need, now! Question: The diagram shows a sector of a circle, center 0, radius 10cm. The angle of the sector is 150^o. Find the length of the minor arc . It is cut into six equal prisms as shown. The area of R is 22cm^2 1. show that theta=0.44+sin(theta)cos(theta) 2.Show that theta lies between 0.9 and 1.0 0 users composing answers.. 1 +0 Answers #1 +111464 +2 . The diagrams show a circular sector of radius 10 cm and angle θ radians which is formed into a cone of slant height 10 cm. Solved: The diagram shows a sector of a circle, center O. Calculate the area of the sector. [4] (iii) Find the area of the shaded region. The large tin has a radius of 6.5 cm and a height of 11.5 cm. step 2. (2) Now - knowing the base radius of the cone formed - you can determine the circumference of the base of the cone. the arc length of the sector is 15cm. find ∝ in terms of pi . Find the length of the minor arc AB. Circle has centre A and radius 6cm, and circle has centre B and radius 10 cm. - … The diagram shows a sector OAB of a circle, centre O and radius10 cm. 0. By considering the perpendicular distances of D […] It will have the same volume as the large tin. The angle MON is 2x radians with radius r and center O.If perimeter P=20, what is value of Area A in terms of - 17146131 The Area Of A Sector Of A Circle Of Radius 12 Cm Is 100 Cm?. (i) Show that the length of the straight line BC is 7.79 cm, correct to 2 decimal places. The cross-section of a gate is a sector of a circle with radius 8.5 m and angle 76°. i. I radian Find the perimeter of the shaded region. December 7, 2020. by your tutor. If perimeter P=20, what is value of Area A in terms of X? Hits: 40 Question The diagram shows a sector POQ of a circle of radius 10 cm and centre O. Work out the perimeter of the sector. a.) Diagram not drawn to scale. The area of sector is A cm 2 and perimeter of sector is 50 cm. Example 2: Find the area of the sector when the radius of the circle is 16 units, and the length of the arc is 5 units. The following diagram shows a sector of a circle of radius r cm, and angle eat the centre. (i) Calculate the volume of this cone. In the following diagram, a sector is shown in yellow colour. The diagram shows a circle of radius 5 cm. PLZ HELP FAST The diagram shows a sector of a circle radius 10 cm . Angle POQ is 2.2 radians. 10 cm 10 cm The diagram shows a sector ABC of the circle, centre A and radius 10 cm, in which angle BAC = 0.8 radians. The arc length of the sector is 15 \ cm. (c) Calculate, to 3 decimal places, the area of R. The radius of the circle is 13 cm. The region R is bounded by the arc AB and by the lines AC and CB. Hits: 1396 Question The diagram shows the sector OPQ of a circle with centre O and radius cm. (a) Prove that r = 2 5. b) the tangents to the cirlce at the point P and Q meet at the point T. and the angles TPO AND TQO are both right angles. 2 See answers Kusumsahu7 Kusumsahu7 Radius = 10cm. The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0.7 radians. Draw The Diagram And Find The Length Of The Arc, Giving Your Answer In The Form Pvq Cm, Where P And Q Are Integers. the diagram shows a sector OPQ of a circle with centre O. the radius of the circle is 18m and the angle POQ is 2π / 3 radians. The diagram shows a sector of a circle, centre O, radius 10 cm. It is evident from the diagram that; First we calculate area of semi-circle AYB. Angle radians and angle radians. (2) (b) Find the area of the sector OAB. Calculate the area of the sector. Angle ( Ѳ) = 72° We know that: Area of Sector = Ѳ/360 × πr² Area of sector = 72/360 × 22/7 × 100 Area of sector = 1/5 × 22/7 × 100 Area of sector = 22/7 × 20 Area of sector = 62.8 cm². (Total 4 marks) 12. The diagram shows a sector of a circle, centre O. A circle, centre C and radius r cm touches teh arc AB at T, and touches OA and OB at D and E respectively, as shown. Find the angle θ radians. AB. Radius Area of a Sector 2 part (angle) = irr sector whole Gives Us: Area of a sector Area of a circle *In formula booklet 1. 15cm 10 cm 10 cm O Find the perimeter of the shaded region. What would be your first thought here? Step-by-step explanation: step 1. [2] 12 (CIE 2014, w, paper 13, question 6) Working: 2 Tï(s) q 2 = 361 q 2. is 21.6 cm. I really don't know where to begin? The diagram shows a sector of a circle, OMN. Solution. the straight edges are brought together to make a cone . The arc length of the sector is 15cm. The new tin will have a radius of 5.8 cm. The diagram shows a sector of a circle, centre. Click hereto get an answer to your question ️ The diagram shows two arcs, A and B. Arc A is part of the circle with centre O and radius OP. Show all working. PLEASE explain all of this (why you add here, why you need this formula etc). The radius of the circle is 13 \ cm. The diagram shows a sector of a circle with radius 15 cm.Calculate the perimeter of this sector. [2] (ii) Find the perimeter of the shaded region. The diagram shows a sector of a circle radius 11cm. Answer: 3 question 34. (NOTE: THIS IS IN A NON-CALCULATOR PAPER) Question: The diagram shows a sector of a circle, centre O. The angle of the sector is 150°. show that perimeter of the sectors is greater that 47.5cm 2 See answers calculista calculista Answer: The perimeter of the sectors is greater than 47.5 cm. Find the circumference of the complete circle. The diagram shows a circle of radius 5 cm. so, Area of sector is 62.8 cm². The diagram shows a sector of a circle of radius 10 cm. Calculate the perimeter of the sector. Show that the area enclosed by the two arcs is equal to 25 (√(3) - pi6 )cm^2 calculate the area of the sector. Angle AOB = 120 degrees. O A B. The radius of the circle is 15 cm. Is a straight line BC is 7.79 cm, the perimeter of the sector.. 20-2R Show that the length of the sector of a circle is \! 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