The radius of the circle is 13 \ cm. 1 radian Find the perimeter of the shaded region. What would be your first thought here? Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. 15cm 10 cm 10 cm O Step-by-step explanation: step 1. Prove that (i) θ = (360/ π) (25/r−1) (ii) A = 25r – r 2 Calculate the height of the new tin. (3 marks) 2. Using triangle OCE, show that Rsin(theta) = r(1+sin(theta)) I don't even know how SIN got into this picture? Hits: 1158 Question The diagram shows a circle touching a circle at a point . QR is an arc of a circle with centre P and POR is a straight line. 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. Find The Perimeter Of The Sector. December 7, 2020. by your tutor. (i) Calculate the volume of this cone. Work out the perimeter of the sector. 2. Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. Answer to: The diagram shows a sector of a circle, center O, radius 10 \ cm. [4] (iii) Find the area of the shaded region. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. O A B. The area of sector is A cm 2 and perimeter of sector is 50 cm. The angle at the centre of the sector is θ. 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. The diagram shows a sector of a circle of radius $\D r$ cm. Diagram not drawn to scale. 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. Solution. The new tin will have a radius of 5.8 cm. so, Area of sector is 62.8 cm². 2 See answers Kusumsahu7 Kusumsahu7 Radius = 10cm. 1B Math SL Year 2 2. (c) Calculate, to 3 decimal places, the area of R. The diagram shows a circle of radius 5 cm. Calculate the area of the sector. The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector. Give your answer correct to 3 significant figures. Working: B Answer: 6. This is, of course, *less* than the circumference that would be formed by the circle created with a 10 cm (slant height) circle. The angle of the sector is 150^o. Leave your answer in … [4] 0606/01/O/N/07. 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. 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. Show that . (b) Find, in cm, the perimeter of the sector OAB. And therefore the base radius is equal to the slant height divided by sq.rt. 0. [2] (ii) Find the perimeter of the shaded region. Find the value of r. r' 20-2r —ar . Draw The Diagram And Find The Length Of The Arc, Giving Your Answer In The Form Pvq Cm, Where P And Q Are Integers. (2) 1 radian. The following diagram shows a sector of a circle of radius r cm, and angle eat the centre. The perimeter of the sector is 20 cm. Give your answer in suitable units. The diagram shows a sector of a circle, centre. Find the perimeter of the sector. 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. 0 users composing answers.. 1 +0 Answers #1 +111464 +2 . Hence express the area of the sector in terms of . A sector has an arc length of 8.4 cm. The area of the shaded sector . The large tin has a radius of 6.5 cm and a height of 11.5 cm. Arc Length and Sector Area – Exam Questions 1. One of the QR is an arc of a circle with centre P and POR is a straight line. (4 Marks) B. QUESTION 10 The diagram shows a sector of a circle, centre o, radius 10 cm.The arc length of the sector is 15 cm. In the following diagram, a sector is shown in yellow colour. The diagram shows a sector of a circle of radius 10 cm. The point C lies on OB and iss such that AC is perpendicular to OB. 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. Question: The diagram shows a sector of a circle, center 0, radius 10cm. The diagram shows a sector OAB of a circle, centre O and radius10 cm. Angle POQ is 2.2 radians. (c) Find the length of AC, giving your answer to 2 decimal places. 10cm 10cm h r Working: Answer:..... (Total 4 marks) 2. Angle AOB is theta radians. The vertical height h of the cone is equal to the radius r of its base. OAB. (Total 4 marks) 12. The Sector Of A Circle Of Radius V10 Cm Contains An Angle Of V5 Radians. step 2. 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. Guest Apr 1, 2017. a.) PLZ HELP FAST The diagram shows a sector of a circle radius 10 cm . (a) (b) 20-2r Show that -Ron The area of the sector is 25 cm . Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. the arc length of the sector is 15cm. The diagram shows a sector of a circle, centre O, radius 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. Working: 2 Tï(s) q 2 = 361 q 2. Angle radians and angle radians. Show that the area enclosed by the two arcs is equal to 25 (√(3) - pi6 )cm^2 By considering the perpendicular distances of D […] b.) i. The area of the shaded sector 04B is 21.6 cm . O, radius 10 cm. 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