Projection of circles claim check: If a circle lies in a plane that is not parallel to the plane of projection, does it still project as a circle (unchanged shape) in that view?

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
This question tests the same geometric principle from the opposite angle. When a circular feature sits on a plane inclined to the view, its appearance is altered by projection. Understanding this prevents drawing errors and misdimensioning of holes and round pockets on slanted faces.



Given Data / Assumptions:

  • A circle exists on a plane not parallel to the projection plane.
  • We are using standard parallel projection, not an auxiliary view aligned to the feature plane.
  • No correction (like an auxiliary view) is applied.


Concept / Approach:
The circle will appear as an ellipse due to foreshortening along one axis. The only situation in which a circle appears as a true circle in a given view is when the circle’s plane is parallel to the projection plane. Otherwise, the locus of projected points forms an ellipse in that view.



Step-by-Step Solution:

Check the angle between the feature plane and the projection plane.If nonparallel, construct an ellipse using projected endpoints of diameters.Dimension the true diameter on an auxiliary view parallel to the circle’s plane.Use the main view only to show location and general orientation.


Verification / Alternative check:
Compare a tilted washer drawn in front, top, and an auxiliary view: only the auxiliary view parallel to the washer shows a perfect circle; the others show ellipses.



Why Other Options Are Wrong:

Correct (as stated): This would contradict core projection geometry.First-angle-only / diameter-dimensioned: Projection method and adding a dimension do not change the projected shape.


Common Pitfalls:
Placing a diameter symbol on an ellipse in a nonparallel view without providing an auxiliary true-shape view; assuming the visual circle remains unchanged regardless of orientation.


Final Answer:
Incorrect

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