Multiple choice

The length of the diameter of the circle is 10 cm and length of the chord drawn in a circle is 6 cm. Find the distance (in cm) of chord from the center.

  1. 10

  2. 8

  3. 6

  4. 4

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

For a chord of length 6 cm in a circle of diameter 10 cm (radius r = 5 cm), the perpendicular distance d from center to chord follows: (chord/2)² + d² = r². So 3² + d² = 5², giving 9 + d² = 25, so d² = 16, and d = 4 cm. This uses the chord-radius theorem from geometry.