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Perspective  Part 6 
Part 1 Part 2 Part 3 Part 4 Part 5 
OTHER ELEMENTS: THE CIRCLE
The circle in perspective is going to give us more material to learn, as some of its properties also apply to a rectangle with all four sides equal. The reason for that is that all circles are contained within such squares. So, let us begin with drawing a perfect square in perspective. First with one vanishing point, then with two.
In order to determine whether a square has equal sides, we need to measure segment S, which should be equal to L. To do this we follow these stepsNow that we have the square, let us draw the circle:

In this second example, we are showing another circle, but this time with two vanishing points. The basic rules are the same for the above circle. Just make sure that you have have a perfect square before you begin the circle. To verify this, all you need to do is draw a base line parallel to the horizon line at the closest corner of the square. Next, project the two converging lines farthest to you (black dotted lines) until they intersect the green base line. If your square is perfect, L1 should be identical to L2. If not, make the necessary adjustments. 
Application: In this example, the circle uses the principles explained.
Ancient Ruins Used as Public Baths by Robert
Hubert 1798 
The Piazzetta Looking South, by Canaletto 
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