Cicle Geometry, SMB-007

In the diagram, a line from the centre of the circle meets a chord at its midpoint.

Find the value of \(\theta\). (2 marks)

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\(\theta = 47^{\circ}\)

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\(\text{Line from centre bisects chord}\ \ \Rightarrow\ \ \text{Line is ⊥ to chord}\)

\(\theta\)	\(= 180-(90+43)\ \ (180^{\circ}\ \text{in}\ \Delta) \)
	\(= 47^{\circ} \)