MHB -3 circles centers on line segment PQ

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The discussion centers on the geometric relationship of three circles with respect to a line segment PQ, emphasizing that conclusions should be drawn from observation rather than assumptions. It highlights that the diameters of the two smaller circles should not be assumed equal. The large circle's diameter is expressed as the sum of the segments PR and RQ, reinforcing the importance of precise calculations. Participants note that GRE diagrams often lack clarity, which can lead to incorrect assumptions. Overall, the conversation stresses careful analysis in geometric problems.
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GRE236.pngit was done by simple observation
typos maybe,,,,

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One should not assume the two smaller diameters are equal ...

Large circle diameter, $D = PR+RQ$

$\pi D = \pi(PR+RQ) = \pi \cdot PR + \pi \cdot RQ$
 
good point...

yes I know often the GRE diagrams are not for assumptions
so just adding as equal term is not absolute
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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