Math Problem Statement

Work out the circumference of this circle. Take π to be 3.142 and give your answer to 1 decimal place. The diameter is 9m.

Solution

To calculate the circumference of the circle, we use the formula:

Circumference=π×diameter\text{Circumference} = \pi \times \text{diameter}

Given that:

  • The diameter of the circle is 9m9 \, \text{m}
  • π\pi is approximated as 3.1423.142

Now, substituting the values:

Circumference=3.142×9=28.278m\text{Circumference} = 3.142 \times 9 = 28.278 \, \text{m}

Rounding to one decimal place:

Circumference28.3m\text{Circumference} \approx 28.3 \, \text{m}

So, the circumference of the circle is 28.3 meters.

Would you like further details or have any questions?

Here are some related questions:

  1. How would the circumference change if the diameter were doubled?
  2. What is the radius of the circle, and how could you calculate the circumference using it?
  3. How is the area of the circle calculated, given its diameter?
  4. What if π\pi were taken as 3.143.14 instead of 3.1423.142? How would the answer change?
  5. How can you express the formula for the circumference if you're only given the radius?

Tip: Remember, the circumference of a circle is always directly proportional to its diameter!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

Circumference = π × Diameter

Theorems

Circumference Theorem

Suitable Grade Level

Grades 6-8