AB = .....cm [3] 12 A metal pole is 500 cm long, correct to the nearest centimetre. The diagram shows a sector of a circle, centre O. The side OC is 20cm and OA is 12cm. The diagram shows a sector OBC of a circle, centre O and radius 12 cm. 9 π 2 (a) Find the value of π cm and C O ˆ A =. [ 3 marks ] 2. BD is a straight line. Angle AOB is theta radians. This preview shows page 1 - 4 out of 7 pages. An arc is a part of a circle. (c) Find the area of the minor sector OAC. Give your answer correct to 3 significant figures. QUESTION 10 The diagram shows a sector of a circle, centre o, radius 10 cm.The arc length of the sector is 15 cm. Give your answer correct to 3 significant figures. The diagram shows a point P at the top of a cliff. This preview shows page 4 - 7 out of 14 pages.. (2) (Total 18 marks) 6.) The diagram shows the design of an earring. GCSE Higher: A yellow equilateral triangle has been painted on a purple sector. Find the total area of the three parts of the sector lying outside the circle with centre C. … The diagram shows two arcs, A and B. Arc A is part of the circle with centre O and radius OP. The radii of a circle are all the same length. (a) Find the length of the arc ABC. Give your answer correct to 3 sig figs. 9 π 2 (a) Find the value of Find the value of , in radian. (a)Calculate, in cm2, the area of the sector AOB. Arc. Calculate the length of the arc AB. The radius of the circle is 6cm. The diagram shows a sector of a circle, centre O. The following diagram shows a circle of centre O, and radius r. The shaded sector OACB has an area of 27 cm 2. A circle with centre and radius cm lies within the sector and touches it at P, Q and R. Angle POR = 1.2 radians. Find the area of the sector in terms of r, giving your answer in its simplest form. The diagram above shows the sector AOB of a circle, with centre O and radius 6.5 cm, and AOB = 0.8 radians. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. (b) Calculate the length of the minor arc ACB. The chord AB subtends at an angle of 750 at the centre. O r A C B (a) Find the radius. In the diagram above, the part of the circle from B to C forms an arc. (a) The perimeter of the shaded area. The diagram shows a sector OAB of a circle with the centre O and radius rcm. Solved: The diagram shows a sector of a circle, center O. The earring consists of a circle inside an equilateral triangle. i. O (3 marks) 15.2 cm 165° 4 AOB is a sector of a circle, centre O and radius 6 cm. Prove that the perimeter of shaded region is r 6794 Views A boat in a circular lake lies at its centre . 4. In given fig. what is the area of sector POQ if angle POQ is equal to 40 degree? Angle BOA radians. The circle shown has centre O and radius 3.9 cm. i got 221.. but im sure its not right Page 5 Q4.The diagram shows a sector of a circle, radius 12 cm. Give your answer correct to 4 significant figures. The angle at the centre of the circle is 40 degrees. 3. math. The points A, B and C lie on the circumference of the circle, and AÔC = 1.2 radians. O 38° B NOT TO SCALE A 25 cm The diagram shows a sector of a circle, centre O, radius 25 cm. Calculate the area of the sector. Tutorial 11 Circular Measure 1. [4] Figure 1 shows a sector AOB of a circle with centre O and radius r cm. Worked Solution x y 8 cm 8 cm 10.1 Show that the area of the rectangle, A, is given by A x x 256 2. 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 … 1B Math diagram below shows a circle, centre O, with a radius 12 cm. Angle KOL = 40°. Show that the area enclosed by the two arcs is equal to 25 (3 − 6 π ) c m 2 Calculate (a) the area of the sector, Answer(a) cm2 [2] The angle of the sector is 30°. Show that the length of OC is approximately 1.65 cm and find the length of CD. 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 =. If the radius of the circle is 8cm calculate: (a) The area of the shaded area. ABC Is An Arc 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 Diagram not drawn to scale. 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 AC Is A Chord Of The Circle. Show all working. Calculate the area of sector OAB. 15cm 10 cm 10 cm O (b) Show that the length of the chord AB is 5.06 cm, to 3 significant figures. The point C lies on OB and iss such that AC is perpendicular to OB. Question: The Diagram Shows A Sector Of A Circle With Centre O. The diagram shows a sector of a circle, centre O, radius 5r. 8 (a) The diagram shows a sector of a circle with centre O and radius 24 cm. The length of the arc AB is 7.5 cm and the perimeter of the sector AOB is 25 cm. A diagram shows a sector of a circle with centre O and radius 20cm. The point C lies on OA such that OCD is a right angle. The diagram shows a sector AOB of a circle with centre O and radius 6 cm. Show that , correct to 3 decimal places. Calculate the area of the sector. In the above diagram, O is the center of the circle and and are radii of the circle. The radius of the circle is 13 \ cm. The diagram shows a sector of a circle of radius 7 cm. (6) Angle AOC = 30° Calculate The Area Of The Shaded Segment. The angle AOB is 1.5 radians...? Answer(a)(i) x = ..... [3] (ii) The points A and B of the sector are joined together to make a hollow cone. Give your answer in … The diagram shows a sector OAB of a circle, centre O and radius10 cm. The Radius Of The Circle Is 10 Cm. (c) Calculate, in cm, the perimeter of R. (b) Find the perimeter of the minor sector OAC. In the diagram, OAB is a sector of a circle with centre O and radius 8 cm. the area of a circle PQR with centre O is 72 cm square. The perpendicular distance of the boat is 1 0 m from a bridge lying in 4 0 m distance across the circular lake. NOT TO Answer x — Work out the area of the shaded segment. The diagram shows a sector of a circle, centre O. Answer cm 2 [4] The radius of the circle is 15.2 cm. Angle AOB = 0.6 radians. The sector angle is 38°. The angle of the sector is 165°. Not drawn accurately Show that the perimeter of the sector is greater than 52 cm. ii. The diagram shows a large tin of pet food in the shape of a cylinder. Calculate the perimeter of the table top. Angle B O ˆ A = θ = 1.5 radians. Diagram 2 shows a circle with centre O. Calculate the area of the sector. L p = 1050 Hence find 1. AC is an arc of the ... as shown in the diagram below. Given that the length of the major arc RS is 45 cm , find the length , in cm , of the radius. 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. The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. The diagram shows a sector of a circle with centre and radius 20 cm. Question: The diagram shows a sector of a circle, centre O. ... OKL is a sector of a circle, centre O, radius 5.6 cm. OAB is a sector of a circle, centre O. AB is perpendicular to the radius OQ and meets OP produced at B. The length of AD is 6 cm. 2. The following diagram shows a circle with centre O and radius 9 cm. Diagram 1 shows a sector AOB with centre O. An arc can be measured in degrees. The angle of the sector is 150^o. The length of the arc AB is 4r. The radius is half the length of the diameter. 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. The diagram shows a table whose top is in the shape of part of a circle with centre, O, and radius 60 centimetres. 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. 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. 3 The diagram shows a sector, centre O. Calculate the area of the segment shaded in the diagram. Angle AOB = 120 degrees. The angle AOB is θ radians. Work out the length of arc . 2. Calculate the value of x. Give your answer in suitable units. Find the perimeter of the sector… The radius of the circle is 13cm. (i) The total perimeter of the sector is 68 cm. Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. The point D lies on OB such that the length of OD is 2 cm. Angle BOD is 90°. The angle of the sector is 60°. The point F is on the beach and vertically below P. The point A is 55m from F, along the horizontal beach. The diagram shows a sector AOB of a circle, centre O, radius 9 cm with angle AOB = 50°. In Fig., is shown a sector OAP of a circle with centre O, containing ∠θ. The radius of the circle is 13 cm. AC is a chord of the circle. B C с 10cm 10cm 30° O Select One: A 2571-75 Cm 2 3 O 2576 Cm2 3 257-25 3 Cm2 O … The mid-points of OB and OC are A and D respectively. Work out the length of arc AB. Calculate the area of the sector. Give your answer correct to 3 significant figures. [3] Worked Solution. Calculate the value of x. (a)By considering the triangle POC, show that x is equal to 7.5cm, correct to one decimal place The angle of the sector is 150 degrees. The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. A circle with centre C and radius xcm lies within the sector and touches P,Q,R |