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Circle theorem: The angle in a semicircle is a right angle. This is a special case of the angle at the centre theorem above. The angle on the diameter = 180°. The angle at the circumference = 90°. It is easy to spot, look for a diameter in the circle and see if it makes the base of a triangle, with its top vertex at the circumference.
re you start to answer i. Keep an eye on the time.T. co.uk61°73° x° ECDA, B and C are points on the circumference of a circle, centre O. DCE. ACB = 73° Angle BC. = x°Find the value of x.Give reasons for. is 3 marks)A O65°D C EA, B and C are points on the circumference of a circle, centre O. DCE. e.AB = BC Angle BCE = 65°.
Circle Theorems for iGCSE. Circles and Angles 1; Circle Theorems - angles on the same arc; Circles and Angles 2; Angle in a Semi-circle 1; Angle in a Semi-circle 2; Circle theorems - Cyclic Quadrilaterals; Cyclic Quadrilateral 3; Circle theorem: Radius to tangent; Radius and Chord Relationships ; Two Tangents Theorem; Circle Theorems - Tangents
The unit then builds on this to make sure learners understand the link between these angle facts and the circle theorems and can confidently apply a range of facts to derive the circle theorems. ... Test Maker is currently available for Cambridge IGCSE Mathematics 0580 and Cambridge IGCSE Additional Mathematics 0606 syllabuses, but although th ...
IGCSE Circle Theorems Name: _____ Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information
I go through all of iGCSE Circle Theorems Exam Questions in 50 minutes, ensuring that you are fully prepared for the iGCSE Cambridge Maths exams.🔍 Explore t...
Use circle theorems to work out the angles x\degree and y\degree. [3 marks] Firstly, we can use rule 5, this is a cyclic quadrilateral, so opposite angles add to 180\degree. We can use this to work out y, 180-105=75\degree\\ y=75. Now, we can use rule 1 – as AC passes through the centre, this is a diameter of the circle, so the angle that ...
Use one of the circle theorems to work out the length BC, given that the length AB is 7.5\text { cm} [1 mark] This is a simple question as we can quickly apply only one rule: rule 3. As these tangents come from the same point, there is the same length between each of the lines meeting and the circumference.
The opposite angles of such a quadrilateral add up to 180 degrees. Area of Sector and Arc Length. If the radius of the circle is r, Area of sector = πr 2 × A/360. Arc length = 2πr × A/360. In other words, area of sector = area of circle × A/360. arc length = circumference of circle × A/360.
Questions and model answers on 3.4 Circle Theorems for the CIE IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams.
