Tutorial 11 Circular Measure 1. B C с 10cm 10cm 30° O Select One: A 2571-75 Cm 2 3 O 2576 Cm2 3 257-25 3 Cm2 O … Given that the length of the major arc RS is 45 cm , find the length , in cm , of the radius. [ 3 marks ] 2. Question: The diagram shows a sector of a circle, centre O. Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. Show all working. The following diagram shows a circle of centre O, and radius r. The shaded sector OACB has an area of 27 cm 2. Work out the perimeter of the sector. The angle of the sector is 30°. Angle B O ˆ A = θ = 1.5 radians. A circle with centre and radius cm lies within the sector and touches it at P, Q and R. Angle POR = 1.2 radians. An arc is a part of a circle. The point D lies on OB such that the length of OD is 2 cm. Give your answer correct to 3 significant figures. The side OC is 20cm and OA is 12cm. O r A C B (a) Find the radius. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. Question: The Diagram Shows A Sector Of A Circle With Centre O. The diagram shows a table whose top is in the shape of part of a circle with centre, O, and radius 60 centimetres. The angle of the sector is 150 degrees. Solution for 2, The diagram shows the sector of acircle with centre o 5m 50° The radius oA the circle is 5M and the ang le of the sector is 50° The diagram shows the design of an earring. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. Give your answer correct to 3 sig figs. In the diagram above, the part of the circle from B to C forms an arc. If the radius of the circle is 8cm calculate: (a) The area of the shaded area. The diagram shows two arcs, A and B. Arc A is part of the circle with centre O and radius OP. The diagram above shows the sector AOB of a circle, with centre O and radius 6.5 cm, and AOB = 0.8 radians. The angle AOB is θ radians. Worked Solution The diagram shows a sector of a circle of radius 7 cm. Work out the area of the shaded segment. Give your answer in suitable units. 3 The diagram shows a sector, centre O. Angle KOL = 40°. The radius of the circle is 9cm. i. This preview shows page 4 - 7 out of 14 pages.. (2) (Total 18 marks) 6.) 9 π 2 (a) Find the value of π cm and C O ˆ A =. Show that the area enclosed by the two arcs is equal to 25 (3 − 6 π ) c m 2 AC is a chord of the circle. Find the distance that the boat will have to travel to reach to the extreme point of left side of bridge is m 5 m. Then, m is 15cm 10 cm 10 cm O Work out the length of arc AB. The angle of the sector is 60°. Show that the length of OC is approximately 1.65 cm and find the length of CD. The diagram shows a point P at the top of a cliff. ... OKL is a sector of a circle, centre O, radius 5.6 cm. [4] The diagram shows a sector of a circle, centre O. The radius of the circle is 13 cm. Give your answer correct to 3 significant figures. The Radius Of The Circle Is 10 Cm. (a) Find the length of the arc ABC. (6) a) find the length of the arc PQ, giving the answer as a multiple of π. 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 i got 221.. but im sure its not right In given fig. The angle of the sector is 150^o. The diagram shows a sector of a circle, centre O, radius 5r. Calculate the area of the sector. The following diagram shows a circle with centre O and radius 9 cm. (c) Find the area of the minor sector OAC. 4. The diagram shows a sector AOB of a circle with centre O and radius 6 cm. x y 8 cm 8 cm 10.1 Show that the area of the rectangle, A, is given by A x x 256 2. The diagram shows a sector of a circle, centre O. (b) Find the perimeter of the minor sector OAC. The area of the sector AOB is 11 cm2 Given that the perimeter of the sector is 4 times the length of the arc AB, find the exact value of r. NOT TO Answer x — 2. 2. (a)By considering the triangle POC, show that x is equal to 7.5cm, correct to one decimal place The diagram shows an arc AB of a circle, centre O. Triangle OAB is equilateral. The diagram below shows a circle centre O, with radius r.The length of arc ABC is 3 π cm and C O ˆ A =. (b) Calculate the length of the minor arc ACB. Calculate the area of sector OAB. The length of the arc AB is 4r. The angle AOB is 1.5 radians...? Calculate (a) the area of the sector, Answer(a) cm2 [2] The diagram shows a sector AOB of a circle, centre O, radius 9 cm with angle AOB = 50°. QUESTION 10 The diagram shows a sector of a circle, centre o, radius 10 cm.The arc length of the sector is 15 cm. AC is an arc of the ... as shown in the diagram below. Prove that the perimeter of shaded region is r 6794 Views Find the total area of the three parts of the sector lying outside the circle with centre C. … The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. ii. The radius of the circle is 13cm. Worked Solution. The mid-points of OB and OC are A and D respectively. (c) Calculate, in cm, the perimeter of R. Arc. Show that , correct to 3 decimal places. L p = 1050 Hence find The radius of the circle is 15.2 cm. AC Is A Chord Of The Circle. In the above diagram, O is the center of the circle and and are radii of the circle. O 38° B NOT TO SCALE A 25 cm The diagram shows a sector of a circle, centre O, radius 25 cm. Page 5 Q4.The diagram shows a sector of a circle, radius 12 cm. Find the perimeter of the sector… The perpendicular distance of the boat is 1 0 m from a bridge lying in 4 0 m distance across the circular lake. Answer(a)(i) x = ..... [3] (ii) The points A and B of the sector are joined together to make a hollow cone. Find the value of , in radian. math. Find the area of the sector in terms of r, giving your answer in its simplest form. The radius of the circle is 6cm. Diagram 1 shows a sector AOB with centre O. The point C lies on OA such that OCD is a right angle. Calculate the area of the sector. Solved: The diagram shows a sector of a circle, center O. Diagram 2 shows a circle with centre O. 9 π 2 (a) Find the value of The angle of the sector is 150°. The diagram shows a large tin of pet food in the shape of a cylinder. Answer cm 2 [4] Calculate the value of x. The circle shown has centre O and radius 3.9 cm. Calculate the area of the sector. The angle at the centre of the circle is 40 degrees. what is the area of sector POQ if angle POQ is equal to 40 degree? 3. The angle of the sector is 165°. Give your answer correct to 3 significant figures. The sector angle is 38°. The radius of the circle is 13 \ cm. Answer 4 cm ABC is a sector of a circle, radius 4 cm and centre C. The length of the arc AB is 8 cm and angle ACB = xo. (b) Show that the length of the chord AB is 5.06 cm, to 3 significant figures. Calculate the perimeter of the table top. Calculate the area of the sector. GCSE Higher: A yellow equilateral triangle has been painted on a purple sector. The chord AB subtends at an angle of 750 at the centre. The earring consists of a circle inside an equilateral triangle. Angle BOD is 90°. Diagram not drawn to scale. AB is perpendicular to the radius OQ and meets OP produced at B. O is the centre of a circle, If the area of the sector OAPB is 5/36 times the area of the circle then find the value of x. asked Oct 3, 2018 in Mathematics by Tannu ( 53.0k points) areas related to … (a)Calculate, in cm2, the area of the sector AOB. [3] Angle AOC = 30° Calculate The Area Of The Shaded Segment. The diagram shows a sector OAB of a circle, centre O and radius10 cm. The diagram shows a sector of a circle with centre and radius 20 cm. Give your answer correct to 4 significant figures. ABC Is An Arc Of The Circle. O (3 marks) 15.2 cm 165° 4 AOB is a sector of a circle, centre O and radius 6 cm. The diagram shows a sector OBC of a circle, centre O and radius 12 cm. In Fig., is shown a sector OAP of a circle with centre O, containing ∠θ. Angle BOA radians. The radii of a circle are all the same length. Calculate the value of x. The diagram shows a sector of a circle, centre O. The length of the arc AB is 7.5 cm and the perimeter of the sector AOB is 25 cm. The points A, B and C lie on the circumference of the circle, and AÔC = 1.2 radians. This preview shows page 1 - 4 out of 7 pages. (i) The total perimeter of the sector is 68 cm. 8 (a) The diagram shows a sector of a circle with centre O and radius 24 cm. Not drawn accurately Show that the perimeter of the sector is greater than 52 cm. The radius is half the length of the diameter. 1. 1B Math diagram below shows a circle, centre O, with a radius 12 cm. Angle AOB is theta radians. The point F is on the beach and vertically below P. The point A is 55m from F, along the horizontal beach. In the diagram, OAB is a sector of a circle with centre O and radius 8 cm. The tangents to the circle at A and at B meet at P. 12 cm P diagram not to scale I(I-CŒIO -.¥ (a) (b) (c) Using the cosine rule, show that the length of AB is COS S COS Find the length of BP. A boat in a circular lake lies at its centre . AB = .....cm [3] 12 A metal pole is 500 cm long, correct to the nearest centimetre. The radius of the circle is 15 cm. An arc can be measured in degrees. The length of AD is 6 cm. Work out the length of arc . Give your answer in … A circle with centre C and radius xcm lies within the sector and touches P,Q,R |
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