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In a true isometric projection, the outline of a sphere is drawn as a circle whose diameter is

  • A.the sphere's true diameter
  • B.0.816 times the true diameter
  • C.1.225 times the true diameter
  • D.half the true diameter

Answer: A

An orthographic projection of a sphere is a circle of the sphere's own diameter whatever the direction of view, since the silhouette is always a great circle seen face on. So the sphere is the one feature of an isometric projection that is not foreshortened, every isometric edge being reduced by the 0.816 factor.

In an isometric drawing, where all lengths are set out enlarged by

\[ \frac{1}{0.816} \;=\; 1.225, \]

the sphere is drawn at 1.225 times its true diameter so as to match the enlarged edges around it.

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