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