Symmetry and Right-Angled Triangles in Circles
Symmetry and Right-Angled Triangles in Circles
Secondary 3
The figure below shows a circle with centre \(O\) and chords \(AB\) and \(CD\).
\(AB=5\) cm and \(OM=ON=3\) cm.
Calculate
- the length of \(CN\).
- the radius of the circle.
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Answer:(a) \(2.5\text{ cm}\) (b) \(\frac{\sqrt{61}}2\text{ cm}\approx3.91\text{ cm}\) (3 s.f.)
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