Question 624289
A chord 6 cm long is 2 cm from the center of a circle. How long is a chord that is 1 cm from the center of the same circle?
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The product of the segments of the chord = product of the segments of the diameter.
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3*3 = (r-2)*(r+2) = r^2 - 4
{{{r = sqrt(13)}}}
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c^2 = (r-1)*(r+1) = r^2 - 1 = 12
c^2 = 2sqrt(3) =~ 3.464
chord = 2c
chord = 6.928 cm