In a circle of radius 5 cm, there are two parallel chords of lengths 6 cm and 4 cm. The possible distance between the chords is

The perpendicular distance from the center to the 6 cm chord is found using the Pythagorean theorem: sqrt(5^2 - 3^2) = sqrt(16) = 4 cm. Similarly, the perpendicular distance from the center to the 4 cm chord is sqrt(5^2 - 2^2) = sqrt(21), which is approximately 4.58 cm. When the chords are on opposite sides of the center, the total distance between them is the sum of these distances: 4 + 4.58 = 8.58 cm.

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