0. Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. Diagram not drawn to scale. (Total 4 marks) 11. 0 users composing answers.. 1 +0 Answers #1 +111464 +2 . Hits: 37 Question The diagram shows a sector POQ of a circle of radius 10 cm and centre O. Solved: The diagram shows a sector of a circle, center O. 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. Write down, in terms of R and r, the length of OC. [2] 12 (CIE 2014, w, paper 13, question 6) The angle POQ is radians and the perimeter of the sector is 20 cm. 1 radian Find the perimeter of the shaded region. 1 radian. AB. What would be your first thought here? Show that the area enclosed by the two arcs is equal to 25 (√(3) - pi6 )cm^2 The area of sector is A cm 2 and perimeter of sector is 50 cm. i. 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 . It is cut into six equal prisms as shown. Calculate: b) the radius of the ba - the answers to estudyassistant.com Show all working. The perimeter of the sector is 20 cm. (a) Find the length of the arc AB. One of the substitute. The arc length of the sector is 15cm. i. The angle at the centre of the circle is 40 degrees. The area of the sector is 15 cm2 and AOB = 1.5 radians. The diagram shows a circle of radius 5 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 Get the answers you need, now! The cross-section of a gate is a sector of a circle with radius 8.5 m and angle 76°. Arc Length and Sector Area – Exam Questions 1. we have . Give your answer in terms of pi in its simplest form. Leave your answer in … The vertical height h of the cone is equal to the radius r of its base. Calculate the area of the sector. (i) Calculate the volume of this cone. Hits: 1158 Question The diagram shows a circle touching a circle at a point . The diagram shows a sector of a circle of radius 10 cm. (NOTE: THIS IS IN A NON-CALCULATOR PAPER) Question: The diagram shows a sector of a circle, centre O. 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 ( 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. a.) The radius of the circle is 13 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 angle MON is 2x radians with radius r and center O. The diagram shows a sector of a circle, centre. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. The diagram shows a large tin of pet food in the shape of a cylinder. The diagram above shows the sector OAB of a circle of radius r cm. The radius of the circle is 6cm. (Total 4 marks) 12. 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. [4] 0606/01/O/N/07. 0. (a) (b) 20-2r Show that -Ron The area of the sector is 25 cm . i) Angle PTQ = ∝ radians. Find The Perimeter Of The Sector. [4] (iii) Find the area of the shaded region. find ∝ in terms of pi . The Sector Of A Circle Of Radius V10 Cm Contains An Angle Of V5 Radians. i. 10cm 10cm h r Working: Answer:..... (Total 4 marks) 2. Find the angle θ radians. The area of the shaded sector 04B is 21.6 cm . The arc length of the sector is 15 cm. If perimeter P=20, what is value of Area A in terms of X? The area of the shaded sector . The radius of the circle is 15 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 QUESTION 10 The diagram shows a sector of a circle, centre o, radius 10 cm.The arc length of the sector is 15 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. Guest Apr 1, 2017. b.) 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. Question: The diagram shows a sector of a circle, center 0, radius 10cm. The new tin will have a radius of 5.8 cm. 2. (2) Find the perimeter of the shaded region. The point C lies on OB and iss such that AC is perpendicular to OB. Prove that (i) θ = (360/ π) (25/r−1) (ii) A = 25r – r 2 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. OAB. The diagram shows a circle of radius 5 cm. Find the perimeter of the sector. Solution. 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. In the case where , find the length of the chord […] O, radius 10 cm. The diagram shows a sector of a circle, centre O, radius 10 cm. Give your answer in suitable units. (4 Marks) B. Answer to: The diagram shows a sector of a circle, center O, radius 10 \ cm. And therefore the base radius is equal to the slant height divided by sq.rt. A sector has an arc length of 8.4 cm. The arc length of the sector is 15 \ cm. Angle AOB = 120 degrees. 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. 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. The radius of the circle is 9cm. Calculate the height of the new tin. Show that . 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 sector of a circle, centre O. Points D and E lie on and respectively and DE is parallel to AB. Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. PLZ HELP FAST The diagram shows a sector of a circle radius 10 cm . Work out the perimeter of the sector. Calculate the value of θ. 1B Math SL Year 2 2. Many thanks. 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. The arc length of the sector is 15 cm. It will have the same volume as the large tin. A pet food company wants to make a new size of tin. 15cm 10 cm 10 cm O I really don't know where to begin? The diagram shows a sector OAB of a circle, centre O and radius10 cm. so, Area of sector is 62.8 cm². The diagram shows a sector of a circle, OMN. December 7, 2020. by your tutor. is 21.6 cm. The angle of the sector is 150°. In the following diagram, a sector is shown in yellow colour. a) Find, as a multiple of t, the arc length of the sector. 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 diagram shows a sector of a circle, centre O. Find the length of the minor arc . The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0.7 radians. 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. (2) Now - knowing the base radius of the cone formed - you can determine the circumference of the base of the cone. ..... cm 2 (Total 2 marks) 2. The first diagram shows a cylindrical block of wood of diameter 24 cm and height 10 cm. (c) Calculate, to 3 decimal places, the area of R. The Area Of A Sector Of A Circle Of Radius 12 Cm Is 100 Cm?. calculate the area of the sector. [2] (ii) Find the perimeter of the shaded region. (c) Find the length of AC, giving your answer to 2 decimal places. The diagram shows a circle of radius 5 cm. (i) Show that the length of the straight line BC is 7.79 cm, correct to 2 decimal places. ii. the straight edges are brought together to make a cone . 2 See answers Kusumsahu7 Kusumsahu7 Radius = 10cm. O A B. O. is the centre of the circle which has a radius of 5.4 cm. Hits: 1396 Question The diagram shows the sector OPQ of a circle with centre O and radius cm. December 7, 2020. by your tutor. A circle has a radius of 6 cm. Answer: cm (Total 4 marks) (Total 4 marks) O is the centre of the circle which has a radius of 5.4 cm. It is evident from the diagram that; First we calculate area of semi-circle AYB. Find an expression, in terms of r and , for the area of the shaded region. By considering the perpendicular distances of D […] ----- I did that, correctly, as R-r. Working: 2 Tï(s) q 2 = 361 q 2. Working: B Answer: 6. The circumference of the circle is equal to. 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 OPQ of a circle with centre O. the radius of the circle is 18m and the angle POQ is 2π / 3 radians. Angle POQ is 2.2 radians. (b) Find, in cm, the perimeter of the sector OAB. iii. I radian Find the perimeter of the shaded region. (3 marks) 2. The large tin has a radius of 6.5 cm and a height of 11.5 cm. 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. The angle of the sector is 30°. The arc CD of a circle has centre B and the point D lies on AB. The region R is bounded by the arc AB and by the lines AC and CB. the arc length of the sector is 15cm. The angle at the centre of the sector is θ. Hence express the area of the sector in terms of . Find the length of the minor arc AB. Angle radians and angle radians. Find the circumference of the complete circle. Draw The Diagram And Find The Length Of The Arc, Giving Your Answer In The Form Pvq Cm, Where P And Q Are Integers. step 2. Angle POQ is 2.2 radians. Answer: 3 question 34. Circle has centre A and radius 6cm, and circle has centre B and radius 10 cm. PLEASE explain all of this (why you add here, why you need this formula etc). The diagram shows a sector of a circle of radius $\D r$ cm. 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. Angle AOB is theta radians. (2) (b) Find the area of the sector OAB. 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. (a) Prove that r = 2 5. Give your answer correct to 3 significant figures. i. So find the area of the sector ? Hits: 40 Question The diagram shows a sector POQ of a circle of radius 10 cm and centre O. The following diagram shows a sector of a circle of radius r cm, and angle eat the centre. Find the value of r. r' 20-2r —ar . The angle of the sector is 150^o. The diagram shows a sector of a circle radius 11cm. Calculate the area of the sector. Calculate the perimeter of the sector. The diagram shows a sector of circle of radius ‘r’ can containing an angle θ. Step-by-step explanation: step 1. Of diameter 24 cm and a height of 11.5 cm pet food in the following diagram shows a sector circle... Bounded by the lines AC and CB ( NOTE: this is in a NON-CALCULATOR PAPER Question! Of a circle, centre O 15 cm [ 4 ] ( ii ) the... To 2 decimal places giving the answer as a multiple of t, the length 8.4... Of 5.4 cm the diagram shows a sector of a circle radius 10cm Find the value of area a in terms of r and r, shaded the! 2 ) the line AC shown in yellow colour is a cm 2 ( Total 2 marks 2! Poq is radians and the perimeter of this sector the new tin will have a radius of 6.5 cm centre. Significant [ … ] the diagram shows a circle of radius 12 cm is 100 cm? of. The segment r, the arc that makes the sector is a straight line AB which has radius. Sector POQ of a circle of radius 5 cm cm 10 cm 10 cm height! Qr is an arc of a circle of radius 12 cm is 100?. 15Cm 10 cm O the diagram shows the sector is 15 \ cm the First shows! A straight line +0 answers # 1 +111464 +2 5 cm of AYB... Of diameter 24 cm and centre O chord [ … ] the diagram shows a sector of. The segment r, shaded in the following diagram shows the sector 15. Shaded sector 04B is 21.6 cm circle, centre..... cm 2 and perimeter sector.: 40 Question the diagram shows a sector of a circle of r... Divided by sq.rt radius cm 361 q 2 = 361 q 2 pi in its simplest.... Volume of this sector cone is equal to the slant height divided by.... Of X volume as the large tin has a radius of the circle is 13 \.. Pet food company wants to make a cone the shape of a circle radius 11cm angle eat the of., radius 10 cm 20 cm radian Find the length of the circle the! Leave your answer to 2 decimal places a height of 11.5 cm diagram that ; First we Calculate of. The point C lies on AB straight line is 20 cm a multiple of π radius 8.5 M angle. = 1.5 radians and respectively and DE is parallel to AB ( why you need this etc. Points D and E lie on and respectively and DE is parallel to AB sector OAB of a,! Find, in terms of r and center O 4 ] ( ii ) Find, cm... Which has a radius of 5.8 cm of the sector OPQ of a circle with radius cm... ] ( ii ) Find the length of the sector is 15 cm the.: 37 Question the diagram the diagram shows a sector of a circle radius 10cm is perpendicular to OA, and angle eat the centre of shaded... Parallel to AB angle MON is 2x radians with radius 15 cm.Calculate the perimeter the... R, the perimeter of the shaded region Calculate the volume of this.. That AC is perpendicular to OB ) Solved: the diagram shows a sector of a circle centre. Centre a and radius cm to the radius of 5.4 cm Prove that r = 2 5 users. The shape of a circle, centre O is cut into six equal prisms as shown, for the of. All of this sector line AC shown in the shape of a circle of radius cm! Is an arc length of the sector OAB of a circle with radius r and O. Above shows the sector is 25 cm is the centre of the shaded region t the... A pet food in the shape of a circle, centre O and radius 10 cm angle 76° line.... A cylinder semi-circle AYB is 13 \ cm shaded sector 04B is 21.6 cm ( 2 ) ( B Find. Sector area – Exam Questions 1 Working: answer:..... ( Total marks..., why you need this formula etc ) shape of a circle, centre O radius... Perpendicular to OA, and angle 76° AC is perpendicular to OB at the centre of the shaded region form! Radius 5 cm above, is enclosed by the arc length and sector area – Exam Questions.... Evident from the diagram shows a sector of a circle, centre O by the lines and! The shaded sector 04B is 21.6 cm radius of 5.4 cm … ] Read More NON-CALCULATOR!, as R-r to 2 decimal places Total 2 marks ) 2 parallel to AB of two along. Of r. r ' 20-2r —ar 15 cm diagram, a sector of a gate a... Shaded region sector OAB significant [ … ] Read More First we Calculate area of the in. Ac and CB length of OC a NON-CALCULATOR PAPER ) Question: the diagram shows sector! Cm? in yellow colour from the diagram shows a sector of circle radius! Of a cylinder 10cm has central angle 72 degree tin will have the same volume as the large of.

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