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IKMC 2006 - Grades 9-10 - Self-study Question 29

IKMC · IKMC 2006 - Grades 9-10 - Self-study

Question 29

A square PQRS of side 10 cm rolls without slipping along a line, first about Q as shown. It stops when P first returns to the line. What is the length of the curve traced by P?

Question illustration
  1. $10\pi$
  2. $5\pi+5\pi\sqrt2$
  3. $10\pi+5\pi\sqrt2$
  4. $5\pi+10\pi\sqrt2$
  5. $10\pi+10\pi\sqrt2$