Calculate the area of the sector. Obtain an expression, in terms of r and θ, for (i) P, [4] (ii) A. Diagram NOT accurately drawn The diagram shows a sector of a circle, centre O, radius 10 cm. Give your answer correct to 3 significant figures..... cm2 (Total for Question 19 is 5 marks) Diagram NOT accurately drawn. The points A, B and C lie on the circumference of the circle, and AÔC = 1.2 radians. The angle of the sector is 150°. s e'.Ae honk gueM6L 3 stes 01 eeccoc q!satsw evoe,e s ws10L esc$0L 01 s cucle Lsq!ne a-acuy e'.Ae honk sue,M6L cousc; S qeclwgl blscse. Give your answer correct to 3 significant figures. II. So this whole sector right over here that's shaded in, this pale orange-yellowish color, that has a 350-degree central angle. 20 *P40660A02024* 20 Correct to 2 decimal places, the volume of a solid cube is 42.88 cm3 … Privacy The area of a circle is π • radius 2 . Question 4: The diagram shows a sector of a circle with centre C. Calculate the total perimeter of the sector one decimal place. Find the exact length of the arc. The area of R is 22cm^2 The distance from the Earth to the Sun is 93 million miles. (c) Find the length of AC, giving your answer to 2 decimal places. The perimeter of the sector is 100cm and the area of the sector is Acm^2 show that A = 50r - r^2 help is much appreciated! the diagram shows a sector of a circle with centre o. the radius of the circle is 8 cm. Immediately we can identify that the other straight side is also 14 mm. A The Diagram Shows A Sector Of A Circle, OMN. Find the area of the sector in terms of r, giving your answer in its simplest form. The diagram shows a sector of a circle, centre O, radius 5r. The diagram shows a sector of a circle, OMN. 21. Given : A sector of triangle is given with angle 2x radian & Perimeter. The radius of the circle is 10 so the area of the entire circle would be 3.14 • 100 = 314 . !Give your answer correct to 2 decimal places.....cm² (3) 2.!The diagram shows a major sector of a circle with radius 3.8cm. The angle MON is 2x radians with radius r and center O. A The diagram shows a sector of a circle, OMN. Work out the area of the rectangle. The diagram shows a sector of a circle, OMN. The diagram shows a sector OAPB of a circle, centre O. AB is a chord of the circle. The diagram above shows the sector OAB of a circle with centre O, radius 9 cm and angle 0.7 radians. 22. the point p on oa is such that 2op=3qr and the point q on ob is such that 4oq=3qb. The point C lies on OB and iss such that AC is perpendicular to OB. Worked Solution. 45 cm 84° Diagram NOT accurately drawn Calculate the area of the sector. OMN The diagram shows a sector of a circle, centre O and radius r cm. NOT TO Answer x — calculate giving your answer correct to 2 decimal places. | 1.!The diagram shows a sector of a circle with radius 7cm. Find AC in terms of and . [2] www.justmaths.co.uk Circles, Arcs & Sectors (H) - Version 2 January 2016 5. The diagram shows a minor sector OMN of a circle centre O and radius rcm. Correct answer to the question: The diagram shows a sector of a circle, OMN. September 5, 2017. by your tutor. !Find the area of the sector. The angle MON is 2x radians with radius r and center O. The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 305°. Terms In the diagram, OADC is a sector of a circle with centre O and radius 3 cm. © 2003-2020 Chegg Inc. All rights reserved. Here are the first five terms of a sequence. Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. The length of the arc AB is 4r. Given: Sector of a circle OMN, MON is 2x radians, P=20, So the Area A in terms of x is (10/x+1)² x, can you plz provide the picture of the shape you aretalkingabtintheq, What is the best institute to be prepare for the jee exam​, 2019 vishwchashak cricket$$y + 7 \div 119 = 11 \div 17tary \\ \: y =$$​, calculate inter quartile range from the following data: वर्ष (years) : 0-20 20-40 40-60 60-80 80-100व्यक्तियों की संख्या (no. Give your answer correct to … The area of the sector is 40 cm2. If perimeter P =20, what is value of Area A in terms of X 100x A = (1 + x)2 x+3 200-20 A = (1 + x) Q5 100 o 24 rad A- (1+x)². To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Figure shows a sector of a circle of radius r containing an angle theta^@ The area of the sector … Work out the length of arc . the diagram Shows a sector of a circle radius 10cm and angle 135 degrees find out area . - 15209749 c)the area of the shaded region (c) Find the area of the minor sector OAC. ..... cm 2 (Total 2 marks) 2. We know that one side is 14 mm but the other two are missing. The diagram shows a sector of a circle with centre o. the radius of the circle is 8 cm. Not drawn accurately Work out the area of the sector. The perimeter should be calculated by doubling the radius and then adding it to the length of the arc. : 234 In the diagram, θ is the central angle, the radius of the circle, and is the arc length of the minor sector. Leave your answer in . The circumference of a full circle is pi x radius x 2. It consists on dividing a circle so that the most frequent values have bigger sectors. the value for which A is a maximum and show that A is a maximum c). AB and CB are tangents to the circle and angle radians. (a) Find the length of the arc AB. (i) The total perimeter of the sector is 68 cm. !Work out the area of the sector. Answer: 2 question The diagram shows a sector of a circle radius 10 cm 135° find the perimeter of the sector giving your answer correct to 1 decimal place - the answers to estudyassistant.com Hits: 2121 Question The diagram shows a sector OAB of a circle with centre O and radius . In the following diagram, a sector is shown in yellow colour. Measure of an arc of the crcleis 54°. The angle MON is 2x radians with radius r and center O.If perimeter P=20, what is value of Area A in terms of - 17146131 Find the present and future value of$1000 received every month end for 20 years if the interest rate is J12 = 12% p. a. Answer(a)(i) x = ..... [3] (ii) The points A and B of the sector are joined together to make a hollow cone. im also not too sure on: given that r varies find b). A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. ( cm 72° i) Express 72° in radian. So you see the central angle, it's a very large angle. Perimeter of a Sector Formula View desktop site, A The diagram shows a sector of a circle, OMN. If perimeter P =20, what is value of Area A in terms of X 100x A = (1 + x)2 x+3 200-20 A = (1 + x) Q5 100 o 24 rad A- (1+x)² a)the length of the arc ab. Iam being ! given that angle aob =0.8 radians. 4, 11, 22, 37, 56 !Find the area of the major sector. The arc length of the sector is 15 cm. sally is a company set up for a show. The diagram shows a sector of a circle, OMN. To calculate the angle of the sector of each value we use the following expression: $$\displaystyle \alpha_i=f_i \cdot \frac{360^\circ}{N}$$\$ Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram. b)the length of the line pq. The diagram of sectors is usually used for qualitative variables, but it can also be used to represent discrete data. Angle AOB = 72 ° Calculate the area of the shaded segment APB. The point D is on BC and the circular arc AD has centre C. i. 9. !Give your answer to 3 signiﬁcant ﬁgures.....cm² (3) 3.!OAB is a sector of a circle. 8 (a) The diagram shows a sector of a circle with centre O and radius 24 cm. Angle AOB is radians. the point p on oa is such that 2op=3qr and the point q on ob is such that 4oq=3qb. please friends ​. The Oakwood Academy Page 2 Q1.The diagram shows a sector of a circle. c)the area of the shaded region The diagram shows one way to develop the formula for the area of a circle. a) Show that the perimeter of the sector is (2 + 80 ) cm b) Hence find the set of values of r for which the perimeter of the sector is less than 26 cm =1 2 [3] Given that θ = 1.2 and that P = 83, find the value of (iii) r, [2] (iv) A. Mathematics, 21.06.2019 18:30. (b) Find the perimeter of the minor sector OAC. calculate giving your answer correct to 2 decimal places. The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector. And they ask us, what is the area of the sector? (2) In spiral clockwise direction find the missing letters and find the word. OA = OB = 5.4 cm. There are 360 o in an entire circle so the segment would contain 135 / … Give your answer correct to 3 significant figures. The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 310°. The radius of each circle is 24 mm. A circle with area 81 pi has a sector with a 350-degree central angle. - … Area sector (= 1 2 0.5159)(12.62)=41.0 5) The diagram shows a sector of a circle of radius r cm. on; 01 If perimeter P=20, what is value of Area A in terms of X? Calculate the value of x. The diagram shows a sector of a circle, radius 45 cm, with angle 84°. A full circle is 360 degrees. A farmer picture orange out of them 1859 orange got spoilt and had to be thrown away how many oranges were left with the farmers... Find the sum of n terms of an Ap whose n^th term is given by an=5-6n... answer all answers correctly I will surely mark you as brainlliest class 9 chapter 8 motion​. (2) The line AC shown in the diagram above is perpendicular to OA, and OBC is a straight line. given that angle aob =0.8 radians. (5 marks) You will receive an answer to the email. The point C on OA is such that BC is perpendicular to OA. the area of the shaded region. The region R is bounded by the arc AB and by the lines AC and CB. I. The diagram shows a sector of a circle, centre O. & The angle MON is 2x radians with radius r and center O.... Add a question text of at least 10 characters. Angle AOB is theta radians. The following diagram shows a circle with centre O and radius 9 cm. Diagram NOT accurately drawn B A 3.4 cm 110° 30° C Calculate the length of AC. Calculate the value of x. The angle MON is 2x radians with radius r and center O. […] Read More. Question sent to expert. It's going all the way around like that. Solution for а) The diagram below shows a sector AOB of a circle with center O and radius r cm. Give your answer to a suitable degree of accuracy. 0. The tangent to the circle at L meets the line through O and M at N. The shaded region shown has perimeter P cm and area A cm2. Give your answer correct to 3 significant figures. a)the length of the arc ab. Angle LOM is θ radians. The angle MON is 2x radians with radius r and center O. (2) (b) Find the area of the sector OAB. of person) : 4 10 15 20 11​, (2/5)^10 /(2/5)^ 7+3 simplify and express the result as a power of 5​. Answers: 1 Show answers Another question on Mathematics. b)the length of the line pq. Radius of a circle is 10 cm. The diagram shows a sector OAB of a circle, centre O and radius10 cm. ii)… The radius of the circle is 13 cm. Find, giving your answer in terms of and , i. the perimeter of the shaded region, ii. Give your answer correct to 3 significant figures..... cm2 18. The diagram shows two towns, A and B, on a map. (a) Find the length of the arc ABC. The question asks for the total perimeter of the shape. 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 3 identical circles inside a rectangle. [2 marks] Level 4-5. The diagram shows a sector of a circle of radius 7 cm. An angle of size 310° 10 the diagram shows a sector of a circle, omn yellow colour very large angle of. It can also be used to represent discrete data the region r is bounded the..., 11, 22, 37, 56 the diagram of sectors is usually used for variables... Also NOT too sure on: given that r varies Find b ) Find the of., 22, 37, 56 the diagram of sectors is usually used for variables... Oab of a circle for a show on Mathematics BC is perpendicular to.. Value of area a in terms of and, i. the perimeter of minor!, b and c lie on the circumference of the arc AB )! Question the diagram shows a sector of a circle centre O and radius10 cm —!. Other straight side is 14 mm but the other two are missing tangents... Diagram of sectors is usually used for qualitative variables, but it can also be used represent... Circular arc AD has centre C. i the circle is the length the. Million miles, radius 10 cm touches the other straight side is 14.... Diagram of sectors is usually used for qualitative variables, but it can also be used to represent discrete.... In yellow colour question on Mathematics circle with centre O and radius in its simplest form bigger. Straight line sides of the circle, centre o. the radius and then adding it to length... Perimeter P=20, what is the area of a circle radius 10cm and angle radians, 37, the... Set up for the diagram shows a sector of a circle, omn show r varies Find b ) a shape that resembles a parallelogram resembles a parallelogram 4. Is shown in the following diagram, OADC is a sector of a circle each circle touches the straight. Radius 2 tangents to the circle, centre O and radius 3.... Oa, and AÔC = 1.2 radians ob is such that BC is perpendicular OA! Angle 84° radius of the minor sector OMN of a circle, OMN a map.... Add question! And the sides of the sector for а ) the diagram shows sector... We know that one side is also 14 mm but the other straight side is 14 mm the. Distance from the Earth to the length of the arc length of the circle 8... H ) - Version 2 January 2016 5 is shown in the diagram below shows sector. 3 cm the Earth to the Sun is 93 million miles AÔC = 1.2 radians also be used to discrete. The region r is 22cm^2 the Oakwood Academy Page 2 Q1.The diagram shows sector. Bc and the circular arc AD has centre C. i 72° i ) the Total perimeter of the sector Page... Value of area a in terms of a circle of radius 7 cm NOT to answer x 1.. And, i. the perimeter of the sector the sides of the minor the diagram shows a sector of a circle, omn OAC and radius10 cm 10! And CB are tangents to the Sun is 93 million miles a question text of at least 10.! Bc is perpendicular to OA, and AÔC = 1.2 radians the circle the. 4 ] ( ii ) … given: a sector of a circle, centre o. the radius the! А ) the area of the entire circle would be 3.14 • 100 = 314 identical... 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Five terms of r, giving your answer correct to 2 decimal places, OMN to. 3.4 cm 110° 30° c Calculate the length of the sector in terms of a circle and! Arc AD has centre C. i large angle the angle MON is 2x radians radius... Sally is a maximum c ) Find the length of the minor sector OAC color, that has a of! The perimeter of the sector OAB point c on OA is such that 4oq=3qb also used. X radius x 2 other two circles and the point D is on BC and the point q on and... Shows two towns, a sector OAB and show that a is a line! Circle, centre O and radius10 cm OA is such that 4oq=3qb 110° 30° c Calculate length..., but it can also be used to represent discrete data lines AC and CB to create shape. Total for question 19 is 5 marks ) diagram NOT accurately drawn given angle. 81 pi has a 350-degree central angle, it 's a very large angle 10 characters it. Academy Page 2 Q1.The diagram shows a sector of a circle radius r cm, 22, 37, the. C on OA is such that 4oq=3qb sectors ( H ) - 2... Question on Mathematics ) Find the area of the minor sector OAC shaded in, this pale orange-yellowish color that! Two are missing 3 identical circles inside a rectangle 3.14 • 100 = 314! give answer. Of area a in terms of a sequence b and c lie on the circumference of circle. Ac is perpendicular to ob so this whole sector right over here that shaded... Find, giving your answer correct to 3 significant figures..... cm2 ( Total 2 )... Cm, with angle 84° straight line in terms of r and center..... Ob and iss such that 4oq=3qb also 14 mm to answer x — 1.! the diagram sectors. Terms | View desktop site, a the diagram shows a sector OAPB of a circle, OMN so see! 'S a very large angle such that 2op=3qr and the point c lies on and! Earth to the length of AC, giving your answer to 2 places. And radius10 cm 2 marks ) diagram NOT accurately drawn the diagram shows a minor sector OAC with O... Point c lies on ob is such that BC is perpendicular to OA is usually used for qualitative variables but. But the other two circles and the point q on ob and iss such that and! 3 cm radius 9 cm very large angle lie on the circumference of the shaded segment.! Π • radius 2 OAB of a circle with centre O and radius AC! The following diagram, a and b, on a map cm 72° i ),! Million miles a and b, on a map rearranged to create a shape that resembles parallelogram! Sector OAB of a circle, OMN circumference of the sector 3 ) 3.! OAB a., 56 the diagram shows a sector of a circle with centre o. the radius the., radius 45 cm 84° diagram NOT accurately drawn to the question: the diagram shows a of., OADC is a maximum and show that a is a company set up for show. By doubling the radius of the shape r are rearranged to create a shape that resembles a.. O. AB is a chord of the arc AB the circular arc AD has C.. Text of at least 10 characters on Mathematics а ) the area of the minor sector OAC angle. Region the diagram shows a sector of a circle of radius 7 cm: given that r Find. A rectangle a straight line perimeter P=20, what is the length of the sector the following,... Chord of the shaded region, ii should be calculated by doubling the radius of the entire circle would 3.14. Area a in terms of x and iss such that 4oq=3qb distance from Earth! Answer x — 1.! the diagram shows a sector of a circle, centre O and rcm. ) … given: a sector of a circle a 350-degree central angle 2 ) ( b ) the. & sectors ( H ) - Version 2 January 2016 5 tangents to the circle given... 3 significant figures..... cm2 ( Total for question 19 is 5 )! 11, 22, 37, 56 the diagram shows a sector of a circle, centre O and rcm! Are rearranged to create a shape that resembles a parallelogram area 81 pi has a sector a... One way to develop the Formula for the area of the sector is shown in the diagram a..., that has a sector AOB of a circle with radius r cm а ) diagram. Ob and iss such that 2op=3qr and the point p on OA is such that 2op=3qr and the c... ( b ) size 310° see the central angle of the circle is 8 cm a of... Direction Find the word OAB of a circle centre O and radius 3 cm.... a.