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In a Whispering Gallery, Any Sound at One Focus of an Ellipse

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In a whispering gallery, any sound at one focus of an ellipse reflects off the ellipse directly to the other focus. The figure shows an elliptical whispering gallery, where x is the center of the ellipse. What is the distance that sound travels from focus F1F_{1} to focus F2?F_{2} ?
 In a whispering gallery, any sound at one focus of an ellipse reflects off the ellipse directly to the other focus. The figure shows an elliptical whispering gallery, where  x  is the center of the ellipse. What is the distance that sound travels from focus  F_{1}  to focus  F_{2} ?


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