Are Areas of Similar Circular Sections Proportional to Chord Squares?

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The discussion focuses on proving that areas of similar circular sections are proportional to the squares of their chords, based on the principle that areas of circles relate to the squares of their diameters. Participants express confusion over the terminology, particularly the phrases "squares on their chords" and "squares on their diameters." Clarification is provided that "squares on their chords" refers to the square of the chord's length. The conversation highlights the need for a visual representation to better understand the geometric relationships involved. This mathematical relationship emphasizes the proportionality between circular sections and chord lengths.
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Homework Statement



Show that the areas of similar circular sections are proportional to the squares on their chords. Assume that the result that the areas of circles are proportional to the squares on their dimeters.

Homework Equations



no sure

The Attempt at a Solution



What does "squares on their chords mean" and "squares on their diameters mean"? I am having trouble visualizing what this is supposed to look like.
 
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read "squares on their chords" as "the square of the length of the chord"
 

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