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A 20 inch by 20 inch square dartboard has a circular 2 inch radius bullseye at...

A 20 inch by 20 inch square dartboard has a circular 2 inch radius bullseye at its center. The rec-hall manager plans to replace it with a new same-size dartboard, alike in every way except the circular bullseye on the new board has a 3 inch radius. If this is done, how much will it increase the probability for hitting the bullseye? [Assume that the probability of hitting the bullseye on the old board is the ratio of the area of the bullseye divided by the area of the entire board, thus, 3.1415926...%, decimal 0.031415926....] Input answer in decimal form to 4 decimal places

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