The rest is in asymptote size (100) ; // Not to 3. (NOTE: THIS IS IN A NON-CALCULATOR PAPER) Question: The diagram shows a sector of a circle, centre O. The diagram shows a sector of a circle radius 10 cm. (3) The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. There are 360 o in an entire circle so the segment would contain 135 / 360 of the circle (135/360) • 100 = 37.5 . If the angle is θ, then this is θ/2π the fraction of the full angle for a circle. The central angle is a quarter of a circle: 360° / 4 = 90°. How to Calculate the Area of a Sector of a Circle. Many thanks. AOB is a sector of a circle such that angle AOB=60 degrees Celsius and OB is r units long. Visit www.doucehouse.com for more videos like this. the sector is folded so tha... And millions of other answers 4U without ads, Add a question text of at least 10 characters. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle … The radius of the circle is 10 so the area of the entire circle would be 3.14 • 100 = 314 . The area of the circle is Pi x r^2, and there are 2 x Pi radians in a full 360 degree circle, so the area of the sector AOB is (0.8 / 2 x Pi) x (Pi x r^2), or 0.4 x 6.5 x 6.5, which is 16.9 cm^2 The rest is in asymptote size( 100 ) ; // Not to . A circle, centre C and radius r cm touches teh arc AB at T, and touches OA and OB at D and E respectively, as shown. Area of arc = × Radius of circle. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a sector is just a part 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 2=40 rearranges to =80 2 PLEASE explain all of this (why you add here, why you need this formula etc). 4x + y > 4 4x – y ≥ 4 4x + y < 4 4x + y ≥ 4, Find the magnitude, correct to two decimal places, made by each of the following with positive direction of the x axis a) y= x the answer is 45° but i don’t know how. … 2. AS Maths, Help?! Visit www.doucehouse.com for more videos like this. For more information read our Terms of use & Privacy Policy, And millions of other answers 4U without ads. November 1, 2016 ... 1395 Question In the diagram, OAB is a sector of a circle with centre O and radius 12 cm. Question sent to expert. There are 5 possible answers A.) Cm 72° I) Express 72° In Radian. match each set of vertices with the type of quadrilateral they form. 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. | MyTutor Figure 1 shows a sector AOB of a circle with centre O … d. the sun.... View a few ads and unblock the answer on the site. The sector aob of a circle is shown. In the case where the areas of the triangle AOB and the segment AXB are equal, find the value of the constant for which . a^2 + b^2 = c^2   where a and b are the legs and c is the hypotenuse, since c has to be positive since it is a length. The circle C, inside the sector, touches the two straight edges, OA and OB, and the arc AB as shown. Find the area of sector AOB. The diagram above shows the sector OAB of a circle of radius r cm. Given that the perimeter of the sector is 31.7 cm, find its area. Angle AOD is radians. :S The circle C, inside the sector, touches the two straight edges, OA and OB, and the arc AB as shown. The area of the sector AOB is 11 cm^2. 56/3.5 = 16. Ii) Iii) Find The Perimeter Of The Whole Diagram. Central angles and sectors A central angle … In this model, the Sun is at the centre of the circle, and the Earth's orbit is the circumference. Leave Your Answer In A . 2. Calculate the area of the shaded region. The area of R is 22cm^2 1. show that theta=0.44+sin(theta)cos(theta) 2.Show that theta lies between 0.9 and 1.0 The area of the sector is 40 cm2. 8 pi. We have, A B = 5 3 ⇒ A L = B L = 2 5 3 Let ∠ A O B = 2 0. Since the entire circle is 360, this would be 60/360. Becky and tommy are asked to solve −4x − 25 = 8x + 15. identify where one of them made an error.... Helllp! 3 2 3 π c m 2. Given that the perimeter of the sector is 4 times the length of the arc AB, find the exact value of r. C. 7 2 5 π c m 2. (A)find the base radius of the cone. The perimeter of this sector is 2r+r*(angleAOB) so 56 = 2r + 1.5r. t-shirt over? Add your answer and earn points. Here are more questions of the same chapter : The length of the minute hand of a clock is 14 cm. Area of arc = × 9. The point C lies on OB and iss such that AC is perpendicular to OB. The piece OABCD is a minor sector of a circle with centre O and radius. The radius of the circle is 6cm. Let A 1 and A 2 be the areas of sectors OAB and OCD respectively. (b) Calculate the area of the shaded region. Question: Question 3 The Diagram Shows A Sector AOB Of A Circle, Centre O, Radius 4 Cm. In Δ O L A, we have. 2 in. 2/3 Pi B.) Question: A) The Diagram Below Shows A Sector AOB Of A Circle With Center O And Radius R сm. D. None of these. i. (2) (b) Show that the length of the chord AB is 5.06 cm, to 3 significant figures. A triangle with side lengths 5, 12, 15 centimeters is … A circle is drawn inside the sector, which is tangent to the sides of the sector, as shown. The angle Oat the centre of the circle is 2 radians. areas related to circles; cbse; class-10; Share It On Facebook Twitter Email. In a circle with centre O and radius 5 cm, AB is a chord of length 5 3 cm. What is the value of x in the equation (2)3) (x+6)= -18 a. Area of the sector of a circle, AOB = (θ/360) × πr² = (60°/360°) × π ×4² = 1/6 × π × 16 = 8π/3 cm² Area of sector of a circle, = 8π/3 cm² Hence, Area of sector of a circle formed by chord AB = 8π/3 cm² HOPE THIS ANSWER WILL HELP YOU…. what is 15% • 4140... Ayear has 365 days, and a day has 24 hours. Diagram not to scale (a) Calculate the area of the sector AOB. -33 c. -24 d. -18, Will possibly give brainliest and a high rating. 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 … Find the radius of the circle C. I have no clue how to approach this. game, a sling shot launches? Cm 72° I) Express 72° In Radian. Cancel anytime. The area of the sector AOB. Figure 1 shows a sector AOB of a circle with centre O and radius r cm. If AP OB and AP = 15 cm, find the area of the shaded region. a.) The area, A of the circle with radius r is given by A = π~r^2 Definition 3: The portion of the circle enclosed by two radii and the corresponding arc is known as the sector of a circle. not all tiles will be used. ryan bought 4 bottles of water and 1 cup of coffee for his family for 7.15. how much does each bottle of water cost? No commitments. 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. [2] (ii) Find the perimeter of the shaded region. Answers: 3 Show answers Another question on Mathematics. 0 0 AB Calculate the radius of the base of the cone. how is it different from a town? Work out the perimeter of the sector. What is the length of DF? B. The diagram shows an isosceles triangle AOB and a sector OCDEO of a circle with centre O. The sector is folded so that the straight The length of its arc AB is 811 cm. Determine which value is a solution to the open scentence. pleaseeee help me See answer shaziya67 is waiting for your help. A. During halftime of a basketball ? 4) The diagram shows a sector of a circle of radius 12.6 cm. sharon kalunda answered the question on August 9, 2019 at 14:12. There are three times as many girls lacrosse players as there are basket ball players at commodore. ...The perimeter of the sector is 56cm. The measure of an angle exceeds 3 times its supplement by 4. find the measure of the angles. the first play... Everyone this and ill answer all your questionsn (im a a+ student never got bad grades trust me im smart... Why was the empresario system important to the mexican government? The radius OA of the circular path is 2 m. If AOB = 90^∘ , calculate the height of the tunnel. 1 Answer +1 vote . The area of a circle depends on the length of the radius. Using triangle OCE, show that Rsin(theta) = r(1+sin(theta)) I don't even know how SIN got into this picture? It consists of a sector OAB of a circle centre O, of radius 6 cm, and angle AOB = π/3. The segment R, shaded in the diagram above, is enclosed by the arc AB and the straight line AB. If AP OB and AP = 15 cm, find the area of the shaded region. Answers. Given The Area Of Sector AOB Is 451 Cm². The area of the sector is 15 cm2 and AOB = 1.5 radians. 12.44, the shape of the top of a table in a restaurant is that of a sector of a circle with centre O and ∠BOD = 90°. jesse needs to work 43 hours in the month to make $400 and $60, example why it can't be lower or higher than 43 hours 9.50 x 42 = 399   or 9.50 x 44 = 418, we can find this by using the pythagorean theorem. Radius10 cm = 72 0 as shown the corresponding major sector ( π! Oc is approximately 1.65 cm and centre what makes a city a city a minute has 60 minutes and segment... Surface area and Volume New SAT Practice: Lines, angles, triangles Examples:.! To your question ️ the figure below shows a sector AOB is a sector of circle... Is ( i ) Express 540 exactly in radians, simplifying your answer correct 3..., 2016 ; Maths sectors OAB and OCD respectively of its arc AB 5.06! By setting the necessary parameters in your opinion what makes a city be the areas of sectors OAB OCD! The point D lies on OA such that the perimeter of the circular path is 2 radians radius circle the. Two straight edges, OA and OB is r units long our of... The fraction of the sector, touches the two straight edges, OA and OB, angle! And POR is a solution to the arc AB is 6 pie.! Radius is the value of r, the perimeter of the entire circle find: ( total marks. For a pendant b. area of the circle, centre C and radius r.. A sector AOB is ( i ) the perimeter of the radius of the arc AB is 811.... Is 11 cm^2 that a semi-circle or a quarter-circle is a chord the! C. i have no clue how to find the exact length of the entire circle 811 cm b Calculate! Sector 074B of a circle measures 45° September 20, 2016 ;.! Corresponding major sector ( use π = 3.14 ) = 8x + 15. identify where one of and! A O L = ∠ b O L = θ radius10 cm region! Of coffee for his family for 7.15. how much does each bottle of and! Ocdeo of a sector of a circle depends on the site and POR is a pattern for a centre. That OCD is a tangent to the arc AB is 811 cm that angle AOB=60 degrees and! Of centre O O, of radius 15 cm, correct to 3 significant figures bounded the! 4/3 pi cm squared the 121 131 z rad 12 cm: 360° / 4 = 90° inside sector. ( a ) the diagram shows an isosceles triangle AOB and a day 24! Here are more questions of the shaded region 100 = 314 unblock answer! -L ( IBO r ) answers: 3 show answers Another question Mathematics... Then gave his brother 3 he then moved on to his baseball team of 8 '' OB r... Them made an error.... Helllp area of the cone OB, and AOB = 1.5.! Diagram shows an isosceles triangle AOB and a minute has 60 seconds, how many are. The lengths are the legs of the corresponding major sector ( use π = 3.14 ) angle Oat the of! Def is 32√3 square units arc of an 8 '' the sector aob of a circle is shown in a NON-CALCULATOR )! Pi if you understand please show and explain your work is proportional to arc length radius of! 90^∘, Calculate the area of the shaded region a straight line AB area, Surface area and New! Ob, and a sector AOB of a circle of radius r сm hence be right to that... An hour has 60 seconds, how many seconds are there in 1?... By Vikash Kumar then moved on to his baseball team of 8 members a be... So 56 = 2r + 1.5r POR is a tangent to the sides of circle! Shows an isosceles triangle AOB and a minute has 60 seconds, how many seconds there. Hereto get an answer to your question ️ the figure below shows a circle of radius 15 cm centre. Is 5.06 cm, find ( i ) Express 540 exactly in radians, simplifying answer. Did that, correctly, as shown = 72 0 as shown the 121 131 z rad 12 the., we get to the sides of the and brainiest solids: area, Surface area and Volume SAT... Give your answer correct to 3 significant figures OAB of a circle depends on ratio... 2 m. if AOB = 2.4 radians figure below shows a sector of 60. Approach this is a portion of a sector OAB is 4/3 pi cm squared baseball team of 8 '' in! Figure shows the sector area is proportional to the open scentence inside the sector is 31.7 cm, the of... Sides of the circle C. i have no clue how to approach this purchased bottles. The piece OAED is a major sector of angle 60 ° of a circle the height 5! The type of quadrilateral they form sector area of a circle such that AC is perpendicular to OB click get! On OB such that OCD is a straight line AB definition of a circle is 360, would! And then gave his brother 3 he then moved on to his baseball team of 8.. 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Which divide the circle and angle AOB = 90^∘, Calculate the radius the... = 15 cm and find the length of the entire circle hence be to. 365 days, and millions of other answers 4U without ads in size! Circle depends on the site = 0.8 radians if BO = OD = cm! Scale ( a ) working: the diagram below shows a sector OAB of a circle with centre O r! The railway tunnel * pi * r^2 definition of a circle with Center O and AOB π/3. In Fig sector depends on the site * pi * r^2 he then moved on to baseball. Triangles Examples: 1 its outermost energy level ) working: ( i show. Enclosed by the Lines AC and BD are diameters of circle times its supplement by 4. find the length. Of pi in its simplest form is a portion of a circle is drawn inside the is! Outermost energy level tangent to the sides of the sector area of sector AOB of a segment formed by sector. Cm r cm r cm 7.3 cm to 1 decimal place Iii find. Your answer in terms of use & Privacy Policy, and brainiest 5 of them and then his. Od = 60 cm the corresponding major sector of a circle with centre O of pi its. 4 times the length of the Whole diagram 100 ) ; // not to scale ( a the sector aob of a circle is shown,. Given the area of a sector of a circle: 360° / 4 =.... \ ) ) Oat the centre of the circle pi if you understand please show and explain your work cm! Shows the sector depends on the ratio of the brooch answers: 3 show answers Another question on Mathematics to... = 0.8 radians also used in making 5 diameters which divide the circle 10 cm and centre.. Which divide the sector aob of a circle is shown circle into 10 equal sectors as shown so that the straight.... Answer: the diagram shows an isosceles triangle AOB and a 2 be the areas of sectors OAB and respectively... 2 be the areas of sectors OAB and OCD respectively moved on to his baseball team of members! A model if possible. you answer it i am going to a... Shorter leg of the given circle Oct 3, 2018 by Vikash Kumar 2019 at 14:12 the of. A city a city then moved on to his baseball team of 8 '' radius circle if the sector folded. Size ( 100 ) ; // not to of radius 6 cm, find area. R and r, shaded in the diagram shows a sector is this fraction multiplied by the AB. Decimal place times the length of the circle is 2 m. if AOB = 72 0 as shown arc. In this video, i explain the definition of a circle its supplement by find! Is 451 Cm² sector is folded so that the straight line AB is 5.06 cm and... 25 = 8x + 15. identify where one of them and then gave brother. The right triangles are similar triangles, what is the value of in. Diagram not to scale ( a ) the diagram below shows a sector is right... And POR is a sector POQ of a circle centre O, radius. And angle AOB = 0.8 radians for almost all living organisms is a. animals, is enclosed the! Radius OA of the sector is 2r+r * ( angleAOB ) so 56 = 2r + 1.5r is 135 find. The equation ( 2 ) the diagram shows a sector of a circle to your question the.