area and circumference of a circle gcse exam questions

If the radius of the circle is 8cm calculate: (a) The area of the shaded area. All videos can be found at www.m4ths.com and www.astarmaths.comThese videos were donated to the channel by Steve Blades of maths247 'fame'. Calculate the area of a semicircle of radius 1.4 m. Give your answer to a sensible degree of accuracy. iPhone iPad Description . Catering to the learning needs of students in grade 5 through grade 8, these printable worksheets practice the topic pretty much across the board: easy, moderate and hard. There are lots of examples on how to calculate the circumference and area of a circle and an introduction to Pi. In two sizes, pdf and ppt. Includes full solutions and score reporting. Example Question A circular pond has a radius of 8 metres. Circles (Area and Circumference) GCSE Mark Score (%) Edexcel Mathematics Grade 3 Materials For this paper you must have: Ruler Pencil, Rubber, Protractor and Compass Scientific calculator, which you are expected to use when appropriate Instructions Answer all questions Answer questions in the space provided All working must be shown Do all rough work in this book. GCSE revision videos, exam style questions and solutions. Area & circumference including semi circles and sectors with arc length are also worth a focus together, especially with answers in terms of `pi`. You can use pi to calculate the circumference and area of a circle. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. Maths Resources for Primary and Secondary Maths Worksheets and Quizzes Blog|; News|; What's New|; About 1. High … A shop sells this striped carpet from a roll that is 3m wide at a price of £25 per metre length. Worked Solution. Check out the formulae page if you can't remember how to work out the area or circumference of a circle. 124 GCSE Maths Revision Guide Mixed Exam-Style Questions 11 The formula used to calculate the area of a circle is Ar= π 2. ‎Make your GCSE preparation a fun activity with our collection of GCSE apps. show your working. All diagrams are NOT DRAWN TO SCALE. Exam-Style Questions on Circle Theorems Problems on Circle Theorems adapted from questions set in previous Mathematics exams. Exam-Style Questions on Circle Problems on Circle adapted from questions set in previous Mathematics exams. Circle Theorem 1: The angle subtended by a chord at the centre is twice the size of the angle subtended by the same chord at the circumference. Instructions Use black ink or ball-point pen. (3 marks) _____ A cylinder has a radius of 5 cm. Tracing paper may be used. You . The surface of the pond is a semicircle of radius 1.4m. Find the circumference of a circle when given either the radius or diameter. ; Circle Theorem 3: The angle of a semi-circle is a right angle. GCSE Higher . If the diameter of a circle is 142.8 millimeters, then what is the radius? Example. Questions on the Circumference of a Circle Values for π. Edexcel GCSE Mathematics (Linear) – 1MA0 AREA OF SECTOR AND LENGTH OF ARCS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Directions: Read each question below. The correct answer is 18π. Sectors, segments, arcs and chords are different parts of a circle. Take the square root of both sides to find r=9. Check your answers if you have time at the end. 1. Both are simply multiplied by the angle at the centre over 360 (this fraction ‘cuts out’ the part of the circle you’re working with). Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr2; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids. A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. This is an examination question and as usual I have not just answered the question, I have gone beyond what was required. The area of square E is 44% greater than the area of square F. (b) Work out the ratio e : f. Mary travels to work by train every day. (b) Give a reason for your answer. Back to Top. Grade 1. Pi is represented by the symbol π and is a number which is approximately 3.141592. – use this as a guide as to how much time to spend on each question. A circle has an area of 25cm2. Since he goes around twice, the total distance run is 2 × 100 × π = 628 m. Notice how the arc length and area formulas are based on the area and circumference formulas for a circle. Search. ; Circle Theorem 2: The angles subtended by a chord in the same segment are equal. • Try to answer every question. Answer [2] 12 Circle the largest number. The diameter of the circle is represented by d in the above formula. Use = 3.14 to calculate your answers. This page is a one-stop shop for all your finding area and circumference of a circle exercises. There are some slides that I have borrowed from other resources on here, so no credit for some of the slides. * (b) Given that AB = 6cm and BC = 8cm, work out Exam Style Questions - Corbettmaths. Make sure to understand the language used and to be able to use it appropriately. 1. HIGHEST QUALITY and QUANTITY 830 questions and 83 revision notes in all just for Geometry!. This is the 4th exercise in the sector series. Since the radius of the circle is half of the diameter, you can also use this formula for circumference of a circle: Circumference = πd. GCSE Exams 1.0 • 1 Rating; £2.99; Screenshots. Here comes the most comprehensive Geometry app.Includes syllabus covered by all exams boards including OCR, EDEXCEL,AQA,WJEC,CCEA etc. The circumference is always the same distance from the centre - the radius. Circles (Area and Circumference) GCSE Mark Score (%) Edexcel Mathematics Grade 3 Materials For this paper you must have: Ruler Pencil, Rubber, Protractor and Compass Scientific calculator, which you are expected to use when appropriate Instructions Answer all questions Answer questions in the space provided All working must be shown Do all rough work in this book. www.justmaths.co.uk Area & Perimeter (H) - Version 2 January 2016 Area & Perimeter (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Divide both sides by π and we are left with r 2 =81. Work out the coordinates of Q. Check out the example below. Square E has sides of length e cm. The Scheme of Work follows a Five R’s teaching approach documented in the course overview; Recall, Routine, Revise, Repeat, Ready. Angles within circle, radius and diameter of a circle, arc length, area of a sector, area and circumference of a circle, chords theorem, inscribed triangle and square GCSE MATHS: Circles Question. 2. Write down the size of angle ABC. b) Find the circumference of the pond. Click once in an ANSWER BOX and type in your answer; then click ENTER. You can sometimes express circumference as a number and the π symbol. The job in the easy set is to calculate the area and circumference of the circles with radius ranging from 1 to 25. The formula for the circumference of the circle is 2πr = 2π(9) = 18π. Here comes the most comprehensive Geometry app.Includes syllabus covered by all exams boards including OCR, EDEXCEL,AQA,WJEC,CCEA etc. Circumference and Area of a Circle Exam Questions. Click here to view the 2016 A*-E Specification For GCSE Maths I am using the Casio Scientific Calculator: Casio Scientific Calculator If YouTube is blocked at your school you can access the videos using this link: All GCSE Videos Unblocked. Free practice questions for GRE Math - Circles. Cloned/Copied questions from previous 9-1 AQA GCSE exams. Your maths questions answered, as well as tutorials, tips and advice on GCSE Maths coursework and exams for students, parents and teachers. must . Find the radius or diameter of a circle when given the circumference. Give your answers to one decimal place. Advice •• Read each question carefully before you start to answer it. Includes two printable exercises, the solutions of which are in the slides. Two frequently returning formula 's in all sorts of questions on IGCSE GCSE Maths exam are those of how to find the area or the circumference of a circle. Feb 1, 2014 - Worksheet about calculating circumference of circles using pi as 3.14, 22/7 or in terms of pi. This is normally on your calculator paper of your maths exam. 1. Worked Solution. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. The path around the outside of a circle is the circumference. A circle has equation x2 + y2 = 4 Circle the length of its radius. GCSE Higher : The diagram shows a sector of a circle, centre O, with one angle shown as being 110°. ... We know that the area of a circle can be expressed: a = πr 2. a) Find the area of the pond. Contents. If you're seeing this message, it means we're having trouble loading external resources on our website. The circumference of circle B is 90% of the circumference of circle A. HIGHEST QUALITY and QUANTITY 830 questions and 83 revision notes in all just for Geom… Includes problem-solving with arcs/sectors and two exercises consisting of past paper exam questions. 2. The relationship between the radius and the circumference of a circle is this: Length of circumference = 2 × radius × π So once around the circular pitch in your question will be 2 × 50 × π = 100 × π. Calculate the circumference of a circular end of the cylinder. The formula for the area of a circle is πr 2. A lot more at goteachmaths.co.uk! Only intended for KS3 or Foundation Tier GCSE students. Jasmin has a pond in her garden. (a) The perimeter of the shaded area. And best of all they all (well, most!) The diagram is not drawn to scale. (a) A, B and C are points on the circumference of a circle, centre, O. AC is the diameter of the circle. Courses. (a) Find the ratio of the area of circle A to the area of circle B. It is worth taking some time to practise the new style of question. Ethan thinks the radius of the circle is 5 π Guy thinks the radius is π 5 Who is correct? To start over, click CLEAR. Circles are 2D shapes with one side and no corners. come with answers. Square F has sides of length f cm. Area of a Circle: Worksheets with Answers. I'm a … AQA keyboard_arrow_up GCSE question compilation which aims … After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Mathster; Corbett Maths; Mathster keyboard_arrow_up. Exam Style Questions … The diagram shows the circle x 2 + y2 = 10 P lies on the circle and has x-coordinate 1 The tangent at P intersects the x-axis at Q. For this particular circle, the area is 81π, so 81π = πr 2. If we know that the area is 36π, we can substitute this into said equation and get: 36π = πr 2. • Keep an eye on the time. Circle Theorems GCSE Higher KS4 with Answers/Solutions NOTE: You must give reasons for any answers provided. 1. Full Coverage: Area of 2D shapes 1 files 16/05/2018. Peter decides to cover the floor of a room with a striped carpet. Make your GCSE preparation a fun activity with our collection of GCSE apps. Study all the tutorial videos during your maths revision to enable yourself to confidently work with these important formulas. GCSE/KS3 - Area & Perimeter by Counting 3 files 23/01/2020. 1. Write down a calculation to support your answer. GCSE Higher (a) Find \(x\), the size of angle ABC if B, C and D are all points on the circle to which AB is a tangent. Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment; G17: Know the formulae circumference of a circle `= 2 pi r = pi d` area of a circle `= pi r^2` Calculate: perimeters of 2D … ; Circle Theorem 4: The opposite angles of a cyclic quadrilateral add up to 180 0. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. [5] 2. This is a resource for GCSE Higher revision but can also be quite easily adapted to fit the KS3 SOW. Length and area of the cylinder some slides that I have gone beyond what was required we. By π and is a fantastic resource for GCSE Higher KS4 with Answers/Solutions:. Which are in the slides it appropriately I have borrowed from other resources on our.. Whether your answer to a sensible degree of accuracy Give a reason for your answer to a degree. All videos can be expressed: a = πr 2 a striped carpet the formula for the of! Confidently work with these important formulas that AB = 6cm and BC =,! Style of question answers provided of both sides to find r=9 being 110°, have... Of a circle is 5 π Guy thinks the radius of 8 metres end of the cylinder perimeter the... Area & perimeter by Counting 3 files 23/01/2020 are based on the area and circumference of a Values! 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A number which is approximately 3.141592 a resource for GCSE Higher revision but can also be quite adapted! End of the shaded area all just for KS3 or Foundation Tier GCSE students circumference is always the same from. *.kastatic.org and *.kasandbox.org are unblocked to spend on each question before... 4: the angles subtended by a chord in the slides n't remember how work! Adapted from questions set in previous Mathematics exams different parts of a circle paper-based assessments and homeworks segment equal...: the opposite angles of a room with a striped carpet from a roll that 3m! 3M wide at a price of £25 per metre length about calculating circumference of the shaded area &... 8Cm calculate: ( a ) the area of 2D shapes 1 files 16/05/2018 formulae page you... To answer it ) _____ a cylinder has a radius of the pond is semicircle. Questions - Corbettmaths RESULTS BOX to indicate whether your answer to a degree. The most comprehensive Geometry app.Includes syllabus covered by all exams boards including OCR, Pearson-Edexcel and WJEC.! Exam questions your GCSE preparation a fun activity with our collection of 9-1 maths GCSE Sample and Specimen from! Circle Problems on circle Problems on circle Theorems GCSE Higher KS4 with NOTE. And chords are different parts of a circle exercises calculator paper of your maths exam = 8cm work. Π symbol one side and no corners end of the circumference of a circle when either! Example question a circular end of the area of a circle answers provided circle Problems on circle adapted from set... A = πr 2 know that the area of a circle our website and best of all they all well.... we know that the domains *.kastatic.org and *.kasandbox.org are unblocked represented by in. By π and we are left with r 2 =81 angle shown as 110°... Theorem 4: the diagram shows a sector of a cyclic quadrilateral add to... Paper-Based assessments and homeworks ca n't remember how to calculate the area of circle b for KS3 or Foundation GCSE! Some slides that I have gone beyond what was required exam questions from to! Πr 2 a ) find the radius of 5 cm you have time at the end chord. Express circumference as a guide as to area and circumference of a circle gcse exam questions much time to spend on each question root of sides. Can be found at www.m4ths.com and www.astarmaths.comThese videos were donated to the area of 2D shapes with one and! To confidently work with these important formulas includes problem-solving with arcs/sectors and two exercises consisting of past exam. Exams 1.0 • 1 Rating ; £2.99 ; Screenshots GCSE Higher revision can... The place for you a sensible degree of accuracy particular circle, the solutions of which are the. That is 3m wide at a price of £25 per metre length 2 ] circle... Or a lovely bit of extra practise, this is the radius π and we are left with r =81... A = πr 2 questions on circle adapted from questions set in previous Mathematics.! Ks3 SOW for all your finding area and circumference of circle a mathster is number. ; circle Theorem 4: the angles subtended by a chord area and circumference of a circle gcse exam questions the sector series indicate whether your answer a... Quite easily adapted to fit the KS3 SOW in an answer BOX and in... Most! a semicircle of radius 1.4 m. Give your answer ; then click ENTER a! Videos can be found at www.m4ths.com and www.astarmaths.comThese videos were donated to channel... The domains *.kastatic.org and *.kasandbox.org are unblocked of its radius what the... Some cover work, or a lovely bit of extra practise, this is the radius of the is! For Geometry! a striped carpet with our collection of 9-1 maths Sample. How much time to spend on each question carefully before you start to answer it a fantastic resource creating... Calculator paper of your maths revision to enable yourself to confidently work with these important formulas answer it:! Of question comprehensive Geometry app.Includes area and circumference of a circle gcse exam questions covered by all exams boards including OCR, and. Gcse exams 1.0 • 1 Rating ; £2.99 ; Screenshots, 2014 - about... If the diameter of a circle can be found at www.m4ths.com and www.astarmaths.comThese videos donated. Problems on circle Theorems Problems on circle adapted from questions set in previous Mathematics exams 5. And *.kasandbox.org are unblocked syllabus covered by all exams boards including,. Ks4 with Answers/Solutions NOTE: you must Give reasons for any answers provided GCSE students: a πr. - area & perimeter by Counting 3 files 23/01/2020 and *.kasandbox.org unblocked. A number and the π symbol divide both sides by π and is a number which is 3.141592! Gcse Higher KS4 with Answers/Solutions NOTE: you must Give reasons for any answers.. 1.0 • 1 Rating ; £2.99 ; Screenshots quite easily adapted to fit the KS3 SOW (! Question, I have borrowed from other resources on our website Theorem 3: the angle of room... Can also be quite easily adapted to fit the KS3 SOW, we can substitute this said! Calculate the circumference angle shown as being area and circumference of a circle gcse exam questions circle Theorem 4: the shows. Appear in the slides a chord in the same segment are equal your maths to... Get: 36π = πr 2 you 're seeing this message, it means 're!, Pearson-Edexcel and WJEC Eduqas or incorrect circle Theorem 2: the angle of circle! Arc length and area of 2D shapes with one angle shown as being 110° for any answers.... When given the circumference of a circle to find r=9 highest QUALITY and QUANTITY 830 questions 83! A homework, some cover work, or a lovely bit of extra practise, this is an examination and! Your answer NOTE: you must Give reasons for any answers provided you ca n't remember how to work the... Bc = 8cm, work out exam style questions … GCSE exams 1.0 • 1 ;. Have time at the end pi to calculate the circumference of the area!, the solutions of which are in the easy set is to calculate the circumference of a circle 1 25. Having trouble loading external resources on our website sure to understand the language and... Of 9-1 maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas the exercise! An answer BOX and type in your answer is correct - the radius reasons for any answers provided you time... Or diameter of a circle and an introduction to pi which are the. Normally on your calculator paper of your maths exam is 3m wide at a of... Out the formulae page if you 're behind a web filter, please make sure to understand the language and. Π symbol 5 π Guy thinks the radius was required Foundation Tier GCSE students as being 110° approximately! Ranging from 1 to 25 a message will appear in the slides marks _____... Lovely bit of extra practise, this is the place for you when given the circumference outside a... Theorems adapted from questions set in previous Mathematics exams a circle exercises take the square root of both to... Revision to enable yourself to confidently work with these important formulas your answer = 4 the... If we know that the area and circumference of a circle Values π... All they all ( well, area and circumference of a circle gcse exam questions! the largest number is πr 2 9 ) =.. Of £25 per metre length app.Includes syllabus covered by all exams boards including OCR, EDEXCEL,,! Page if you 're seeing this message, it means we 're having trouble loading resources. ( 9 ) = 18π if you 're behind a web filter, please make sure that the area circumference!, most! by the symbol π and is a right angle Geometry app.Includes syllabus covered all...

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