Geometry Paper: Circle Theorems and Applications

Geometry Paper: Circle Theorems and Applications

Secondary 3

In the diagram, \(PA\) and \(PB\) are tangents to the circle with centre, \(O\).
\(PCO\) is a straight line where \(C\) is a point on the circle.
Find the

  1. value of \(m\), where \(PC=m\) cm.
  2. angle \(BPA\).

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Answer:(a) \(8\text{ cm}\) (b) \(45.2^\circ\) (1 d.p.)

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