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Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger circle that touches the smaller circle is:

Competition practiceGeometry
  • A8 cm
  • B4 cm
  • C6 cm
  • D10 cm

Step-by-Step Solution

The chord is tangent to the inner circle, so the radius (3 cm) meets it at right angles at its midpoint. Half-chord = √ √16 = 4 cm, so the full chord = 8 cm.
Answer: A) 8 cm

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