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The Indianapolis Motor Speedway has a circumference of 2.5 miles and an infield area of 253.72 acres. What is the perimeter efficiency of the shape?
Answer: 89.28% [Eq. 1].
Suppose the shape is changed to a 30š ellipse. What will be the area of the infield (k for the ellipse is 91.715%)?
Answer: 267.75 acres.
Suppose the shape is changed to a 45š ellipse. What will be the area of the infield (k for the ellipse is 97.796%)?
Answer: 304.43 acres.
Suppose that in the interests of safety, speed, and a graceful race it is decided to increase the length of a lap from 2.5 to 3.125 miles. What will be the area of the infield (a) replicating the Indy shape with k = 89.279%? (b) with a 30š ellipse? (c) with a 45š ellipse? Answers: (a) 396.43 acres, (b) 418.36 acres, (c) 475.68 acres.
The area of the infield becomes larger as the perimeter efficiency of the track is improved.
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