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Circles A and B are externally tangent t...

Circles `A and B` are externally tangent to each other and to line t. The sum of the radiloto each other and to line t. The sum of the radii of the two circlesis 12 and the radius of circle A is 3 times that of circle B. The area in between the two circles and external tangent, `'t'` is `asqrt3-(bpi)/2` then find the value of `a+b.`

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