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Chords Equidistant from Center Are Equal

The length of...

Question

The length of a chord of a circle of $16.8$ cm, radius is $9.1$ cm. Find its distance from the centre.

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Solution

The radius is $9.1 c m$

The length of chord is

$2 \sqrt{r^{2} - d^{2}} = 16.8 \sqrt{82.81 - d^{2}} = 8.4 82.81 - d^{2} = 70.56 d^{2} = 82.81 - 70.56 d^{2} = 12.25 d = 3.5 c m$

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