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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.

2 Answers

1 vote

Answer:

0.534

Explanation:

arc length = measure of arc / 360 degrees x 2(pi)radius

User DarkAtra
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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




Each length unit on the speedway diagram represents one-tenth of a mile. What is the-example-1
User Dov Rine
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6.1k points