The perimeter of the sector oab shows in
WebbThe diagram shows a sector OAB of a circle, centre O and radius 8 cm. The angle AOB is 46 . [2] [2] (i) (ii) (iii) Express 460 in radians, correct to 3 significant figures. Find the length of the arc AB. Find the area of the sector OAB. 8 cm 1.7 rad 0.8 rad Il cm The diagram shows a triangle ABC, and a sector ACT) of a circle with centre A. WebbThe diagram shows a sector OAB of a circle with centre O and radius r cm. The angle AOB is θ radians and the perimeter of the sector is 30 cm. a) Show that θ = 30/r − 2. b) Find the area of the sector in terms of r. c) Find the maximum possible area of the sector.
The perimeter of the sector oab shows in
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WebbShow your working clearly. 10 (Total for Question 13 is 3 marks) a 14. 6 The histogram shows information about the weights, in grams, of some plums. Frequency density 60 90 100 110 70 80 Weight (grams) Work out an estimate for the proportion of these plums with a weight of less than 100 grams. (Total for Question 14 is 3 marks) 10 Webb26 juli 2024 · Sector area Two radii separate the area of a circle into two sectors - the major sector and the minor sector. To calculate the sector area , first find what fraction …
WebbNotes: In this question, there may be slight differences in answers, depending on which values candidates carry through in subsequent parts.Accept answers that are consistent with their working. Candidates may have their GDCs in degree mode, leading to incorrect answers. If working shown, award marks in line with the markscheme, with FT as … WebbThe perimeter of the sector OAB shown in the following figure, is (a) 64 3 c m (b) 26 cm (c) 64 5 c m (d) 19 cm Solution We know that perimeter of a sector of radius r ……… (1) We …
WebbThe diagram shows points A and B on a circle with centre O and radius r. The tangents to the circle at A and B meet at T. The shaded region is bounded by the minor arc AB and the lines AT and BT. Angle AOB is 29 radians. (i) In the case where the area of the sector AOB is the same as the area of the shaded region, show that tan = 29. [3] WebbThe diagram shows a sector OAPB of a circle, centre O. AB is a chord of the circle. OA = OB = 6 cm. The area of sector OAPB is 5π cm2 Calculate the perimeter of the shaded …
Webb1! rad 4 cm 2 cm A D C B E The diagram shows triangle ABC in which AB is perpendicular to BC.The length of AB is 4cm and angleCAB is ! radians. ThearcDE withcentreA andradius2cmmeetsAC atD andAB atE.Find, in terms of !, (i) the area of the shaded region, [3] (ii) the perimeter of the shaded region. [3] 2 1 rad O A B X r cm 1 The diagram shows …
Webb2 juni 2010 · Core 2 Mathematics Edexcel June 2010 Question 6 Figure 1 shows the sector OAB of a circle with centre O, radius 9 cm and angle 0.7 radians. (a) Find the length of the arc AB. (b) Find the area of the sector OAB. The line AC shown in Figure 1 is perpendicular to OA, and OBC is a straight line. how long ago was may 24th 2021WebbThe diagram shows a sector OAB of a circle with centre O and radius r cm. r cm O A B 1.5c r cm The angle AOB is 1.5 radians. The perimeter of the sector is 56 cm. (a) Show that r = 16. (3) (b) Find the area of the sector. (2) (Total 5 marks) 4. The diagram shows a triangle ABC. The lengths of AC and BC are 4.8 cm and 12 cm respectively. how long ago was mlk speechWebb25 dec. 2024 · Angle AOB is θ radians. The point C on OA is such that BC is perpendicular to OA. The point D is on BC and the circular arc AD has centre C . (a) Find AC in terms of … how long ago was may 15th 1999how long ago was may 18th 2022Webb17 juni 2024 · perimeter; circumference; arcs; 1 Answer. 0 votes . answered Jun 17, 2024 by anonymous selected Jan 30 by easyadmin . Best ... The figure below shows an isosceles triangle in which AB = AC = 6cm. Angle BAC = 80˚. Calculate the length of BC. asked Aug 27, 2024 in Mathematics Form 2 by anony mous. trigonometry; how long ago was may 20th 2022Webb26 juli 2024 · Sector, segment and arc - Higher only Sometimes we need to know how to calculate values for specific sections of a circle. These can include arc lengths, the area … how long ago was mesopotamian civilizationWebbThe diagram shows a sector of a circle of radius 12.6 cm. Given that the perimeter of the sector is 31.7 cm, find its area. 2 O 7.3 cm A B The diagram shows a sector OAB of a circle, centre O and radius 7.3 cm. Given that the area of the sector is 38.4 cm2, find a the size of ∠AOB in radians, b the perimeter of the shaded segment. 3 r cm how long ago was may 26th 2022