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