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