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Find the length of $ON$.
Mathematics 0580 · IGCSE · Circle theorems I
Circle theorems I — practice question
A circle with centre $O$ is shown. $AB$ and $DE$ are chords of the circle. $M$ is the midpoint of $AB$ and $N$ is the midpoint of $DE$. Also, $AB = DE = 9\text{ cm}$ and $OM = 5\text{ cm}$. The figure is labelled with the points $A, B, C, D, E, M, N$ and centre $O$, and it is marked NOT TO SCALE.