Slides in pdf one slide per page, suitable for importing into iwb software worksheet with space for. Introduction to circles, radii, diameters, sectors, arcs, segments, chords, and the seven circle theorems. Circle theorems free worksheets, powerpoints and other. Gcse maths revision circle theorems questions maths made easy.
Bd is a diameter of the circle and pa is a tangent to the circle at a. Angle subtended at the centre of a circle is twice the angle subtended at the. The corbettmaths practice questions on circle theorems. L the distance across a circle through the centre is called the diameter.
Circle theorems examples, solutions, videos, worksheets. Fourth circle theorem angles in a cyclic quadlateral. The angle between a tangent and the radius drawn to the point of contact is 90 degrees. Its so simple to understand, but it also gives us one of the most crucial constants in all of. S and t are points on the circumference of a circle, centre o. Ruler graduated in centimetres and millimetres, total marks protractor, pair of compasses, pen, hb pencil, eraser. I also make them available for a student who wants to do focused independent study. The theorems pyramid peaks from this angle is half the angle in the centre speedo logo the same two points are equal a triangle made from a diameter touches the circumference at 90o when a four sided. Angle zxa 56 the line axb is the tangent at x to the circle. Points a, b and c are all on the circumference of the circle. Circle theorems gcse higher ks4 with answerssolutions note. An important word that is used in circle theorems is subtend.
It is assumed in this chapter that the student is familiar with basic properties of parallel lines and triangles. Our circle theorems tell us that the angle in a semicircle is a rightangle so bad must be 90\degree. These theorems and related results can be investigated through a geometry package such as cabri geometry. The angle in between the two lines is subtended by the arc between c and d. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance. Circle theorems free maths worksheets and other resources one of my favourite parts of maths to teach, great for letting pupils investigate and discover circle theorems for themselves. This worksheet is designed to cover one question of each type seen in past papers, for each. Circle theorems gcse higher ks4 with answerssolutions. Firstly, recognise that since bd is a diameter, angle bad is the angle in a semicircle. Circle theorems standard questions g10 the oakwood academy. Calculate angle 2 marks diagram not accurately drawn diagram not accurately drawn. Circle theorems past paper style questions arran ed b to ic you must have.
I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources. Igcse mathematics practice worksheet circle theorem worksheet 14 student name. We define a diameter, chord and arc of a circle as follows. Abcd is a cyclic quadrilateral within a circle centre o. A, b and c are points on the circumference of a circle, centre o. Z is the point inside the circle such that zx xy and xz is parallel to yw. Points a, b and c are all on the circumference of the circle, o represents the centre. You can earn a trophy if you get at least 7 questions correct. Calculate the size of the following angles, giving a geometrical reason for each of your answers. Mathematics linear 1ma0 circle theorems materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen. Line a b is a straight line going through the centre o. Thus, the diameter of a circle is twice as long as the radius. The perimeter of a circle is the circumference, and any section of it is.
Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london. Circle theorems higher tier for this paper you must have. Maths made easy gives you access to maths worksheets, practice questions and videos to help you revise. T is a point on the circumference of the circle such that pot is a straight line. The angle between a tangent and a radius at the point of contact is a right angle. In my opinion, the most important shape in maths is the circle. Investigations on circle theorems for cie igcse mathematics. A collection of 91 maths gcse sample and specimen questions from aqa, ocr, pearsonedexcel and wjec eduqas. Sixth circle theorem angle between circle tangent and. The angle subtended at the circumference is half the angle at the centre. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. This website and its content is subject to our terms and conditions. The two tangents drawn to a circle from a point are equal in length. Circle theorems objectives to establish the following results and use them to prove further properties and solve problems.
Circle theorems topic questions edexcel gcse maths. Whether you want a homework, some cover work, or a lovely bit of extra. Circle theorems for cie igcse mathematics geogebra. Edexcel gcse mathematics linear 1ma0 circle theorems materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Mathematics non calculator paper 10 practice paper style questions topic. We are working hard on a new platform for setting, building and monitoring homework. Circle theroms maths questions worksheets and revision mme. The ime pqr is a tangent to a circle with centre o. Circle theorems recall the following definitions relating to circles. Circle theorems questions, worksheets and revision. A circle is the set of points at a fixed distance from the centre. Please make yourself a revision card while watching this and attempt my examples. Gcse topic sheets\topic sheet higher tier circle theorems.
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