And therefore the base radius is equal to the slant height divided by sq.rt. The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0.7 radians. 2. (i) Calculate the volume of this cone. The radius of the circle is 15 cm. Hits: 1158 Question The diagram shows a circle touching a circle at a point . The diagram shows a large tin of pet food in the shape of a cylinder. QR is an arc of a circle with centre P and POR is a straight line. Work out the perimeter of the sector. The angle POQ is radians and the perimeter of the sector is 20 cm. Calculate the area of the sector. The diagram shows a sector of a circle of radius 10 cm. 15cm 10 cm 10 cm O The area of the shaded sector . The arc CD of a circle has centre B and the point D lies on AB. Leave your answer in … Find the perimeter of the shaded region. so, Area of sector is 62.8 cm². Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. Find the value of r. r' 20-2r —ar . Question: The diagram shows a sector of a circle, center 0, radius 10cm. By considering the perpendicular distances of D […] The perimeter of the sector is 20 cm. The angle of the sector is 150°. The large tin has a radius of 6.5 cm and a height of 11.5 cm. Answer: cm (Total 4 marks) (Total 4 marks) O is the centre of the circle which has a radius of 5.4 cm. Arc Length and Sector Area – Exam Questions 1. The arc length of the sector is 15cm. The diagram shows a sector of circle of radius ‘r’ can containing an angle θ. 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 area of sector is A cm 2 and perimeter of sector is 50 cm. we have . Calculate: b) the radius of the ba - the answers to estudyassistant.com Calculate the area of the sector. i. PLEASE explain all of this (why you add here, why you need this formula etc). ii. a.) 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. Answer: 3 question 34. Find The Perimeter Of The Sector. [2] (ii) Find the perimeter of the shaded region. Find the circumference of the complete circle. Show that the length of PQ is 17.8 cm, correct to 3 significant […] Read More. Calculate the height of the new tin. December 7, 2020. by your tutor. Give your answer in terms of pi in its simplest form. A sector has an arc length of 8.4 cm. The region R is bounded by the arc AB and by the lines AC and CB. Angle AOB = 120 degrees. Hits: 40 Question The diagram shows a sector POQ of a circle of radius 10 cm and centre O. i. Get the answers you need, now! O. is the centre of the circle which has a radius of 5.4 cm. The cross-section of a gate is a sector of a circle with radius 8.5 m and angle 76°. What would be your first thought here? substitute. calculate the area of the sector. 2 See answers Kusumsahu7 Kusumsahu7 Radius = 10cm. Calculate the area of the sector. The diagram shows a circle of radius 5 cm. ----- I did that, correctly, as R-r. A circle has a radius of 6 cm. 0. It will have the same volume as the large tin. (c) Calculate, to 3 decimal places, the area of R. The diagram shows a sector of a circle, centre O. Angle AOB is theta radians. The area of the sector is 15 cm2 and AOB = 1.5 radians. Diagram NOT accurately drawn 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. i. 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. 10cm 10cm h r Working: Answer:..... (Total 4 marks) 2. 1B Math SL Year 2 2. 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. step 2. (2) The line AC shown in the diagram above is perpendicular to OA, and OBC is a straight line. 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 angle MON is 2x radians with radius r and center O. Show all working. Prove that (i) θ = (360/ π) (25/r−1) (ii) A = 25r – r 2 A sector of a circle with radious 10cm has central angle 72 degree . (2) (b) Find the area of the sector OAB. ? is 21.6 cm. 0 users composing answers.. 1 +0 Answers #1 +111464 +2 . 1 radian. Show that the area enclosed by the two arcs is equal to 25 (√(3) - pi6 )cm^2 It is evident from the diagram that; First we calculate area of semi-circle AYB. Show that . - … (c) Find the length of AC, giving your answer to 2 decimal places. Solved: The diagram shows a sector of a circle, center O. PLZ HELP FAST The diagram shows a sector of a circle radius 10 cm . find ∝ in terms of pi . Calculate the value of θ. 1 radian Find the perimeter of the shaded region. the straight edges are brought together to make a cone . The circumference of the circle is equal to. Angle radians and angle radians. The straight edges are brought together to make a cone. 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 This is, of course, *less* than the circumference that would be formed by the circle created with a 10 cm (slant height) circle. Give your answer in suitable units. The point C lies on OB and iss such that AC is perpendicular to OB. The radius of the circle is 13 \ cm. (4 Marks) B. The angle at the centre of the sector is θ. Working: 2 Tï(s) q 2 = 361 q 2. (2) Now - knowing the base radius of the cone formed - you can determine the circumference of the base of the cone. Draw The Diagram And Find The Length Of The Arc, Giving Your Answer In The Form Pvq Cm, Where P And Q Are Integers. b.) 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 angle of the sector is 150^o. 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. 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. If perimeter P=20, what is value of Area A in terms of X? O A B. (b) Find, in cm, the perimeter of the sector OAB. [4] (iii) Find the area of the shaded region. Hence express the area of the sector in terms of . (a) Find the length of the arc AB. Working: B Answer: 6. The Area Of A Sector Of A Circle Of Radius 12 Cm Is 100 Cm?. ..... 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 circle of radius 5 cm. The diagram shows a circle of radius 5 cm. Angle POQ is 2.2 radians. The vertical height h of the cone is equal to the radius r of its base. ..... cm 2 (Total 2 marks) 2. (Total 4 marks) 11. The radius of the circle is 9cm. Write down, in terms of R and r, the length of OC. QR is an arc of a circle with centre P and POR is a straight line. The angle at the centre of the circle is 40 degrees. Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. Find an expression, in terms of r and , for the area of the shaded region. In the case where , find the length of the chord […] i. OAB. i) Angle PTQ = ∝ radians. So find the area of the sector ? I really don't know where to begin? Step-by-step explanation: step 1. 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