Multiple choice

If two concentric circles are of radii 5 cm and 3 cm, then the length of the chord of the larger circle which touches the smaller circle is-

  1. 6 cm

  2. 7 cm

  3. 10 cm

  4. 8 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The chord of the larger circle (radius 5 cm) that touches the smaller circle (radius 3 cm) is tangent to it. The distance from the center to the chord equals the smaller radius (3 cm). Using the chord length formula: 2√(r² - d²) = 2√(25 - 9) = 2√16 = 2(4) = 8 cm.

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