# Circle theorem questions and answers pdf A circle is a simple shape of Euclidean geometry consisting of those points in a plane. which are the same distance from a given point called the centre. The common distance of the points of a circle from its center is called its radius. The Oakwood Academy Page 3 ( b) P, Q and R are points on the circumference of a circle with centre O. Not drawn accurately Work out the size of angle y. Give a reason for your answer. What is a geometry circle? Circle Theorems ( Level. 𝑂𝑂represents the centre. Calculate the angle 𝑥𝑥, giving a reason for your answer. Circle Theorems - Questions - MME. Circle theorem may refer to: Any of many theorems related to the circle; often taught as a group in GCSE mathematics. These include: Inscribed angle theorem. Thales' theorem, if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle ∠ ABC is a right angle. Circle Theorems ( H) A collection of 9- 1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson- Edexcel and WJEC Eduqas.

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Circle Theorems GCSE Higher KS4 with Answers/ Solutions NOTE: You must give reasons for any answers provided. All diagrams are 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. Write down the size of angle ABC. * ( b) Given that AB = 6cm and BC = 8cm, work out. These are the circle theorems you need to know: Proof: Note: Once you have proved a theorem, you don’ t need to prove it again if you need to use it to prove another theorem. The angle subtended at the centre of a circle is double the angle subtended at the circumference Angle AOC is double angle ABC 𝑥 2𝑥 C B O A ∴ B A C O. The exterior angle theorem is Proposition 1. 16 in Euclid ' s Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.

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