4400 Higher November 2005 Paper 3 Q16

EdexcelHigherOld spec4 marksCircle Theorems

16

Circle with centre O; A, B, C and D on the circle; AOD is a diameter; angle AOB = 84 degrees; chords AB, AC, BC, CD and radius OB drawn

Diagram NOT accurately drawn

\(A\), \(B\), \(C\) and \(D\) are points on a circle with centre \(O\).
\(AOD\) is a diameter of the circle.
Angle \(AOB = 84^\circ\).

(a)
(i) Calculate the size of angle \(ACB\).
(ii) Give a reason for your answer. (2)
(b) Calculate the size of angle \(BCD\). (2)
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