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JAMB Mathematics 2014 Question 31

Question 31

Loci

The locus of a dog tethered to a pole with a rope of 4 m is a

  1. A.semi-circle with radius 4 m
  2. B.circle with diameter 4 m
  3. C.circle with radius 4 m
  4. D.semi-circle with diameter 4 m
Show the answer and explanation

Answer: C (circle with radius 4 m)

Explanation

With the rope pulled tight, the dog is always 4 m from the pole. All points 4 m from a fixed point form a circle of radius 4 m.