Math Problem Statement

The diameter of a circle is 86 m. Find the circumference to the nearest whole number.

Solution

We are tasked with finding the circumference of a circle when the diameter is 86m86 \, \text{m}. The formula for the circumference of a circle is:

C=πdC = \pi \cdot d

Where:

  • CC is the circumference,
  • dd is the diameter,
  • π\pi is approximately 3.141593.14159.

Step 1: Plug in the diameter

C=π86C = \pi \cdot 86

Step 2: Calculate CC

Using π3.14159\pi \approx 3.14159: C=3.1415986270.176C = 3.14159 \cdot 86 \approx 270.176

Step 3: Round to the nearest whole number

C270mC \approx 270 \, \text{m}

Final Answer:

270m\boxed{270 \, \text{m}}

Would you like additional details or have any questions?


Related Questions:

  1. How is the formula for the circumference derived from the circle's properties?
  2. What is the relationship between the radius and the diameter of a circle?
  3. How do we calculate the area of a circle given the diameter?
  4. Why is π\pi an irrational number, and how does it affect calculations?
  5. How does rounding affect precision in real-world measurements?

Tip:

Always keep multiple decimal places in intermediate calculations to avoid rounding errors until the final step.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle
Rounding

Formulas

C = π * d

Theorems

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Suitable Grade Level

Grades 6-8