Multiple choice

In a circle of diameter 10 cm, the length of each of 2 equal and parallel chords is 8 cm, then the distance between these two chords is

  1. 4 cm

  2. 5 cm

  3. 6 cm

  4. 7 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The distance from the center to a chord of length 8 in a circle of radius 5 is sqrt(5^2 - 4^2) = 3. If chords are on opposite sides of the center, distance is 3 + 3 = 6. If on the same side, distance is 3 - 3 = 0. Given the options, 6 is the intended answer.

AI explanation

The radius of the circle is half of the 10 cm diameter, which is 5 cm. Using the perpendicular distance formula from the center to a chord, d equals the square root of (5 squared minus 4 squared), giving a distance of 3 cm from the center to each chord. Since the two equal and parallel chords are on opposite sides of the center, the total distance between them is 3 cm plus 3 cm, which equals 6 cm.

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