An Olympic running track consists of two straight sections, each (84.39 mathrm{~m}) long, and two semicircular ends,
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An Olympic running track consists of two straight sections, each \(84.39 \mathrm{~m}\) long, and two semicircular ends, each with a radius of \(36.80 \mathrm{~m}\) as measured from the inside lane (lane 1). There are eight lanes, each \(1.22 \mathrm{~m}\) wide. If runners did not start staggered (so that each runner covers the same distance), by how much would the distance traveled by a runner in lane 8 exceed the distance traveled by a runner in lane 1 over one lap?
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