The possible distance between the parallel chords whose lengths are 6 cm and 16 cm is 15.5 cm
The diameter of the circle is given as:
D = 20cm
Calculate the radius (r)
r = 10 cm
For the chord of length 6 cm;
The distance of chord from the center of the circle is:
[tex]d = \sqrt{10^2 - (6/2)^2}[/tex]
Evaluate
d = 9.5
For the chord of length 16 cm;
The distance of chord from the center of the circle is:
[tex]D = \sqrt{10^2 - (16/2)^2}[/tex]
Evaluate
D = 6
The sum of both distances is the possible distance between both chords.
Distance = 9.5 + 6
Distance = 15.5
Hence, the possible distances between the chord is 15.5 cm
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