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185 Question:there are 8 lanes in a track field (a rectangle with two semicircles). Each lane width 1 meter ,the most inner lane has length 100 m. the diameter of the semicircle is 64 m,find the difference between the most outer lane and most inner lane.
Choices are 44、50。
【answer】
Assume the diameter for the largest circle is 64. R= radius of the most outer circle, r=radius of the most inner circle, R=r+7*1.
Difference is the difference of the circumferences of two semicircles because the rectangular portion of lanes are the same.
R=64/2=32, r=32-7=25.
Difference=2πR-2πr=2π7=14π=43.96
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