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R^2 = (R-a)^2 + (L/2)^2

(R-a)^2 = R^2 - (L/2)^2

R-a = (R^2 - (L/2)^2)^(1/2)

a = R - (R^2 - (L/2)^2)^(1/2)

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a = R - (R^2 - (L/2)^2)^(1/2)
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