The perimeter of the sector oab shows in
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 WebbThe diagram shows sector OAB of a circle, centre 0 Angle AOB = 50 Sector OAB has area 20 pi cm2 Calculate the perimeter of sector OAB Give your answer correct to 3 …
The perimeter of the sector oab shows in
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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 … Webb26 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 …
Webb15 sep. 2024 · As with arc length, we have to make sure that the angle is measured in radians or else the answer will be way off. So converting θ = 117 ∘ to radians and using r = 3.5 in Equation 4.3.1 for the area A of the sector, we get. θ = 117 ∘ = π 180 ⋅ 117 = 2.042 rad ⇒ A = 1 2 r2 θ = 1 2 (3.5)2 (2.042) = 12.51 m2 . For a sector whose angle ... 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.
http://www.bishopstopfords.enfield.sch.uk/wp-content/uploads/2024/05/Delta-Paper-2H-preparation-2024.pdf 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.
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 …
WebbOAB is a sector of a circle with centre O and radius 7 cm. The area of the sector is 40 cm 2. Calculate the perimeter of the sector. Give your answer correct to 3 significant figures. [4 … hugh fulton electricalWebbThe 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. holiday inn express and suites denver eastWebbThe diagram above shows the sector OAB of a circle of radius r cm. The area of the sector is 15 ... (a) Prove that r = 2√5. (3) (b) Find, in cm, the perimeter of the sector OAB. (2) The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. (c) Calculate, to 3 decimal places, the area of R. (3) (Total 8 ... holiday inn express and suites dayton swWebbThe following diagram shows a sector of a circle of radius r cm, and angle θ at the centre. The perimeter of the sector is 20 cm. (a) Show that θ = . (b) The area of the sector is 25 cm2. Find the value of r. (Total 6 marks) 7. The diagram below shows a circle centre O, with radius r. The length of arc ABC is 3π cm and = holiday inn express and suites dfw grapevineWebb26 juli 2024 · To calculate the sector area, first find what fraction of the whole circle we have. Example Calculate the area of this sector which has a 60° angle to one decimal … holiday inn express and suites edmontonWebbFigure 1 shows a sector AOB of a circle with centre O and radius r cm. The angle AOB is θ radians. The area of the sector AOB is 11 cm 2 Given that the perimeter of the sector is 4 times the length of the arc AB, find the exact value of r. [4] Arc length, area of a sector. Toggle answer. 4. holiday inn express and suites decatur alWebbThe diagram below shows a circle centre O, with radius r. The length of arc ABC is 3π cm and AOˆC = . 9 2π (a) Find the value of r. (2) (b) Find the perimeter of sector OABC. (2) (c) Find the area of sector OABC. (2) (Total 6 marks) 7.) The following diagram shows a sector of a circle of radius r cm, and angle q at the centre. The holiday inn express and suites elizabethtown