Apparent and actual radius (Optics)

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The discussion focuses on understanding the relationship between the apparent radius of a circle and its actual radius when photographed at varying distances from the camera. The key concept involved is linear magnification, also known as transverse magnification, which explains how the size of the circle appears to change as it gets closer to the camera. The distance from the camera is a crucial factor in determining this relationship. Participants reference external resources for further clarification on the topic. Understanding this relationship is essential for accurately interpreting images of circles at different distances.
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I know the radius of a circle. I'm taking pictures of the circle as I bring it closer to the camera. Obviously the radius is getting larger. I want to know what the relationship is to find this out? I know the distance from the camera that the circle is at all times.
 
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