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