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