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The gothic window design below has arc BC centered at A and arc AC centered at B. Semicircles D and E have a radius.....

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The gothic window design below has arc BC centered at A and arc AC centered at B. Semicircles D and E have a radius of 1 and the circle F is tangent to the arcs and the semicircles.
What is the radius of circle F?
enter image description here

posted Oct 3 by Atif
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