The perpendicular distance of the boat is 1 0 m from a bridge lying in 4 0 m distance across the circular lake. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. 8 (a) The diagram shows a sector of a circle with centre O and radius 24 cm. Angle B O ˆ A = θ = 1.5 radians. (b) Calculate the length of the minor arc ACB. 1. The point D lies on OB such that the length of OD is 2 cm. 2. Question: The Diagram Shows A Sector Of A Circle With Centre O. The angle at the centre of the circle is 40 degrees. Calculate the area of the sector. 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 angle AOB is 1.5 radians...? The circle shown has centre O and radius 3.9 cm. The diagram shows a sector OAB of a circle with the centre O and radius rcm. Give your answer correct to 3 significant figures. 2. The diagram shows a sector of a circle, centre O, radius 5r. Diagram not drawn to scale. The radius of the circle is 15 cm. Angle AOB = 120 degrees. The radius of the circle is 15.2 cm. Answer(a)(i) x = ..... [3] (ii) The points A and B of the sector are joined together to make a hollow cone. (6) 3. what is the area of sector POQ if angle POQ is equal to 40 degree? (a) The perimeter of the shaded area. Calculate the area of the segment shaded in the diagram. Angle AOB is theta radians. Calculate the area of the sector. 9 π 2 (a) Find the value of π cm and C O ˆ A =. (a) Find the length of the arc ABC. The diagram shows a sector of a circle of radius 7 cm. The diagram shows a sector OAB of a circle, centre O and radius10 cm. 9 π 2 (a) Find the value of The chord AB subtends at an angle of 750 at the centre. Given that the length of the major arc RS is 45 cm , find the length , in cm , of the radius. A circle with centre and radius cm lies within the sector and touches it at P, Q and R. Angle POR = 1.2 radians. The angle of the sector is 150 degrees. Show that , correct to 3 decimal places. A boat in a circular lake lies at its centre . The diagram above shows the sector AOB of a circle, with centre O and radius 6.5 cm, and AOB = 0.8 radians. The diagram shows the design of an earring. ABC Is An Arc Of The Circle. Calculate the value of x. O 38° B NOT TO SCALE A 25 cm The diagram shows a sector of a circle, centre O, radius 25 cm. Give your answer in … Find the perimeter of the sector… 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 … (b) Find the perimeter of the minor sector OAC. The point C lies on OB and iss such that AC is perpendicular to OB. The diagram shows an arc AB of a circle, centre O. Triangle OAB is equilateral. In the above diagram, O is the center of the circle and and are radii of the circle. Arc B is part of the circle with centre M and radius PM, where M is the mid - point of PQ. Work out the perimeter of the sector. 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 marks ] 2. Give your answer correct to 3 sig figs. The point F is on the beach and vertically below P. The point A is 55m from F, along the horizontal beach. Angle BOA radians. 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 Give your answer correct to 3 significant figures. The angle of the sector is 30°. 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 Give your answer correct to 4 significant figures. The point C lies on OA such that OCD is a right angle. 3 The diagram shows a sector, centre O. The sector angle is 38°. The radii of a circle are all the same length. The Radius Of The Circle Is 10 Cm. Not drawn accurately Show that the perimeter of the sector is greater than 52 cm. Calculate (a) the area of the sector, Answer(a) cm2 [2] Work out the length of arc . In Fig., is shown a sector OAP of a circle with centre O, containing ∠θ. The mid-points of OB and OC are A and D respectively. Question: The diagram shows a sector of a circle, centre O. (i) The total perimeter of the sector is 68 cm. Calculate the value of x. 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 radius of the circle is 13 \ cm. The diagram shows a sector OBC of a circle, centre O and radius 12 cm. Worked Solution Diagram 1 shows a sector AOB with centre O. 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. (a)Calculate, in cm2, the area of the sector AOB. The length of the arc AB is 7.5 cm and the perimeter of the sector AOB is 25 cm. Arc. 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. AB = .....cm [3] 12 A metal pole is 500 cm long, correct to the nearest centimetre. 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. Find the total area of the three parts of the sector lying outside the circle with centre C. … Answer cm 2 [4] Give your answer correct to 3 significant figures. An arc is a part of a circle. The radius of the circle is 9cm. The angle AOB is θ radians. Figure 1 shows a sector AOB of a circle with centre O and radius r cm. The radius of the circle is 13 cm. The diagram shows a large tin of pet food in the shape of a cylinder. In the diagram above, the part of the circle from B to C forms an arc. math. The diagram shows a table whose top is in the shape of part of a circle with centre, O, and radius 60 centimetres. ... OKL is a sector of a circle, centre O, radius 5.6 cm. 15cm 10 cm 10 cm O Calculate the area of the sector. Solved: The diagram shows a sector of a circle, center O. The length of the arc AB is 4r. GCSE Higher: A yellow equilateral triangle has been painted on a purple sector. A circle with centre C and radius xcm lies within the sector and touches P,Q,R |
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