Each length unit on the speedway diagram represents one-tenth of a mile. what is the length of the track, in miles, around turn b? use the value ≈ 3.14, and round your answer to three decimal places.

Since you did not include the figure with the diagram, I searched for a diagram of a question with the same wording of yours.

So, I will help you to solve the problem based on that figure. Such figure is now attached. Please, refer to it.

The turn B is the arc of a sector of circumference of radius 3 and angle 102°.

1) The first step is to caculate the full circumference of such circle.

That is 2π×radius = 2π(3) = 6π ≈ 6(3.14) = 18.84

2) The second step is to calculate the length of the arc

arc = circumference × angle of the sector / 360° = 18.84 × 102°/360° = 5.338

3) The third and final step is to use the scale to pass the units to miles:

5.338 units × 0.1 miles /  unit = 0.5338 miles

Rounded to three decimals that is 0.534 miles ← answer

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