Multiple choice

If a chord of length 30 cm is at a distance of 8 cm from the center of the circle, then the length of the chord of the same circle which is at a distance of 15 cm from the center is equal to

  1. 12 cm.

  2. 18 cm.

  3. 16 cm.

  4. 20 cm.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a chord at distance d from center: chord length = 2√(r² - d²). From chord 1: 30 = 2√(r² - 64), so r² - 64 = 225, r² = 289. For chord 2 at d = 15: length = 2√(289 - 225) = 2√64 = 2 × 8 = 16 cm. Option C is correct.

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