Multiple choice

Find the length of the chord that is at a distance of 21 cm from the center of a circle of radius 29 cm.

  1. 36 cm

  2. 42 cm

  3. 40 cm

  4. 20 cm
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C Correct answer
Explanation

Using the chord length formula: l = 2√(r² - d²) where r=29 cm and d=21 cm. l = 2√(29² - 21²) = 2√(841 - 441) = 2√400 = 2×20 = 40 cm. This is derived from the right triangle formed by radius, distance, and half-chord.

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