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What is the largest circle obtainable as a section of a sphere?

  • A.a circle of the sphere's full circumference length
  • B.a circle whose radius exceeds the sphere's radius
  • C.a great circle through its centre
  • D.a small circle near its surface

Answer: C

A plane through the centre gives a circle of the sphere's own radius, and any other plane gives a smaller one. Its radius diminishes as the plane moves away from the centre until the plane becomes tangent and the circle vanishes.

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