Multiple choice

The distance between two parallel chords of length 24 cm. each in a circle of diameter 26 cm. is-

  1. 10 cm.

  2. 16 cm.

  3. 12 cm.

  4. 14 cm.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Circle diameter = 26 cm, so radius = 13 cm. Each chord length = 24 cm. For a chord of length 24 cm, the perpendicular distance from center is: sqrt(13² - 12²) = sqrt(169 - 144) = sqrt(25) = 5 cm (half-chord is 12 cm by Pythagoras theorem). Two parallel chords on opposite sides of center: total distance = 5 + 5 = 10 cm. If both chords are on same side, answer would be 0, but context suggests opposite sides. Option A (10 cm) is correct assuming chords on opposite sides of center.