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A mountain bike tire completes 40 revolutions and travels 272 feet. Rounded to the nearest inch, what is the diameter of the bike's tire? Use 3.14 for pi.​

Respuesta :

Edufirst

Answer:

  • 26 inches

Explanation:

When the tire does not slip, each revolution means that the bike advance a distance equal to the circumference of the tire.

Thus, when 40 revolutions are completed, the bike will advance a distance equal to 40 times the circumference of the bike:

  • distance = 40 × circumference

The circumference is equal to:

  • circumference = 2π × radius

Using π = 3.14:

  • 272 feet = 40 × 2 × 3.14 × radius

  • radius = 1.0828 feet

  • diameter = 2 × radius = 2.1656 feet

Convert to inches: 1 feet = 12 inches:

  • diameter = 2.1656 feet × 12 inches/feet = 25.9872 inches ≈ 26inches

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