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The smaller circle, radius $r$, rolls around without slipping inside the circumference of the larger circle, radius $2r$.
$P$ is a point on the circumference of the smaller circle . What is the locus of $P$? |
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We have four rods of equal lengths hinged at their endpoints to form a rhombus ABCD. Keeping AB fixed we allow CD to take all possible positions in the plane. What is the locus (or path) of the point D?
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?