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 $F_{2} ?$

Question

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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The Answer of 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 $F_{2} ?$

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