In the diagram below, $A$, $C$, $D$ and $F$ lie on a circle with centre $O$. Line $OB$ i

Question

In the diagram below, $A$, $C$, $D$ and $F$ lie on a circle with centre $O$. Line $OB$ is perpendicular to chord $AC$ and $E$ is the mid-point of chord $DF$. Given that $AC=6$ cm, $DF=10$ cm, $OE=5$ cm and $OB=y$ cm, find the value of $y$ correct to $3$ significant figures.

Accepted Answer

$y=\sqrt{41}\text{ cm}\approx6.40\text{ cm}$ (3 s.f.)

Circle Geometry: Chord-Radius Intersections

Circle Geometry: Chord-Radius Intersections

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