Math Problem Statement

Calculate the diameter of a circle with a circumference of 37 cm using the formula d = C ÷ π, where π = 3.14.

Solution

To calculate the diameter (d) of the circle, we can use the formula:

d=Cπd = \frac{C}{\pi}

where:

  • C=37cmC = 37 \, \text{cm} (the circumference of the circle),
  • π3.14\pi \approx 3.14.

Now, let's calculate the diameter:

d=373.14d = \frac{37}{3.14}

I'll compute this value.The diameter of the circle is approximately 11.8cm11.8 \, \text{cm}, rounded to the nearest tenth.

Would you like more details on this calculation or have any questions?

Here are 5 related questions you might find useful:

  1. How do you calculate the radius from the diameter?
  2. What is the difference between circumference and diameter?
  3. How can you use the diameter to find the area of a circle?
  4. How does using a more accurate value for π\pi change the result?
  5. How do you derive the formula for circumference?

Tip: Always remember that π\pi is an irrational number, so its value is infinite. Using 3.14 is a common approximation for basic calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

d = C ÷ π

Theorems

Circumference-Diameter relationship

Suitable Grade Level

Grades 6-8