Circle Theorem Questions
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Circle Theorem Questions
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G10a Circle Theorems BossMaths
Practice circle theorems questions 1 A B and C are points on the circumference of a circle with centre O The tangent DE passes through the point A 2 ABCD is an arrowhead inscribed in a circle The point B is the centre of the circle Calculate the size of angle ABC 3 A circle with centre Try to answer every question. Check your answers if you have time at the end mathsgenie.co.uk 61° 73° x° E C D A, B and C are points on the circumference of a circle, centre O. DCE is a tangent to the circle. Angle ABC = 61° Angle ACB = 73° Angle BCE = x° Find the value of x. Give reasons for each stage of your working.
G10a Circle Theorems BossMaths
Circle Theorem Questions1. The line AC is a diameter of the circle. Find the size of angle ABC. 2. O is the centre of the circle. Angle DEF = 54°. Find the size of angle DOF. 3. O is the centre of a circle. The line XYZ is a tangent to the circle. Find the size of the angle OYZ. IJKL is a cyclic quadrilateral. Find the size of angle IJK. Find the size of angle JKL. 5. The first circle theorem we re going to use here is Rule 3 the angle at the centre is twice the angle at the circumference The angle at the centre is 126 degree 126 so angle BAD 126 degree div 2 63 degree B AD 126 2 63 We now know two out of the four angles inside ABCD AB C D
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