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The radii of two circles with the same centre are 7 cm and 25 cm. A chord of the bigger circle just touches the smaller circle. How long is this chord? (answer in cm)

Competition practiceGeometry
  • A48
  • B24
  • C32
  • D50

Step-by-Step Solution

The chord is tangent to the smaller circle, so its distance from the centre is 7 cm. Half chord = √ √576 = 24, so the chord = 48.
Answer: A) 48

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