Multiple choice

If the length of a chord of a circle at a distance of 4 cm from the centre is 6 cm, then the diameter of the circle is-

  1. 10 cm

  2. 15 cm

  3. 17 cm

  4. 13.5 cm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For a chord at distance d from center, half-chord length = √(r² - d²). Here half-chord = 3, d = 4. So 3 = √(r² - 16). r² - 16 = 9, r² = 25, r = 5. Diameter = 2r = 10 cm.

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