Question

4. Diameter of a circle is 40cm and distance of the chord from centre of the circle is 12 cm

Find the length of the chord.​

Answer 1

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$= > let \: a \: b \: the \: \: cord \: \: of \: \: the \: \: \\ given \: \: circle \\ \\ = > diameter \: is \: 40cm \: and \\ its \: radius \: is \: \frac{40}{2} = 2 0 \\ \\ we \: know \: that \: \: the \: line \: \: drawn \\to \: the \: circle \: to \: the \: cord \: is \: \\ prepedicular \: to \: the \: cord \\ \\ \\ = > \sqrt{oa }^{2} - \sqrt{oc} ^{2} \\ = > ac = \sqrt{256} = 16 \\ \\ \\ \\ \\ lenght \: of \: the \:cord \: 2 \times 16\\ = 32cm$

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