Applications of Circle Symmetric Property 3

Applications of Circle Symmetric Property 3

Secondary 3

\(O\) and \(P\) are the centres of \(2\) circles, with radii \(3\) cm and \(3.5\) cm respectively.
The two circles touch externally at \(Q\), and \(OM\) is a tangent to the larger circle at \(N\).
Calculate the length of \(ON\).

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Answer:\(\sqrt{30}\text{ cm}\approx5.48\text{ cm}\) (3 s.f.)

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