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The arches of a hypocycloid curve inward toward the fixed centre because the generating circle rolls

  • A.about a point on the directing circle
  • B.inside the directing circle
  • C.outside the directing circle
  • D.along a straight base line

Answer: B

Rolling within the fixed circle turns the cusps inward, whereas rolling outside it throws them outward as an epicycloid. Where the rolling circle's radius is exactly half the fixed radius the curve degenerates into a diameter.

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