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Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point A on the circle that represents the outer track to the center of all the circles, K. ED is 75 meters long, KE is ¼ of the length of KA, and KD is ¾ of the length of KA. Joe visits the park every morning to run a lap around each of the three circular tracks. He starts running from point A, doing one lap around the outer circular track. Once Joe completes that lap, he runs from point A to point D to complete another lap around the second circular track, and then runs from point D to point E to complete his final lap around the third circular track. Once Joe finishes his third lap, he runs from point E to point K and stays there for a few minutes to cool down. Suppose that the circumference of each circle is equivalent to the circular part of Joe’s run. Determine the total distance of Joe’s run. Round your answer to the nearest hundredth.

Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point A on the circle th class=