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