Math Problem Statement

the diameter of a cicrle is 580m, what is the circumfrence, in km?

Solution

The circumference CC of a circle is given by the formula:

C=πdC = \pi d

where dd is the diameter.

Given d=580d = 580 meters:

C=π×580C = \pi \times 580

C3.1416×580C \approx 3.1416 \times 580

C1823.44 metersC \approx 1823.44 \text{ meters}

Since 1 kilometer = 1000 meters:

C1823.441000=1.823 kmC \approx \frac{1823.44}{1000} = 1.823 \text{ km}

Final Answer:

The circumference is 1.823 km.

Would you like a more detailed explanation? Here are some related questions:

  1. What is the radius of the circle?
  2. How would the circumference change if the diameter were doubled?
  3. What is the area of this circle?
  4. How can we express the circumference in terms of radius instead of diameter?
  5. If you walked around this circle once, how many steps would it take assuming each step is 0.8 meters?

Tip:

Always double-check units when converting between meters and kilometers to avoid mistakes!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties
Unit conversion

Formulas

Circumference formula: C = πd

Theorems

The relationship between diameter and circumference of a circle

Suitable Grade Level

Grades 6-8