Math Problem Statement

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

Solution

To calculate the diameter of the circle, we can use the formula provided in the image:

d=Cπd = \frac{C}{\pi}

Where:

  • dd is the diameter
  • CC is the circumference, which is given as 37 cm
  • π\pi is approximated as 3.14

Now, substituting the values into the formula:

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

Let's calculate that.The diameter of the circle is approximately 11.8 cm when rounded to the nearest tenth.

Would you like more details or have any questions?

Here are five related questions you might find useful:

  1. What is the formula for calculating the radius if you know the diameter?
  2. How would the diameter change if the circumference were doubled?
  3. Can you explain the relationship between diameter and radius?
  4. How can you calculate the area of the circle using the diameter?
  5. What is the exact value of π\pi and why do we sometimes approximate it?

Tip: Always remember to round your final answer according to the required precision (e.g., nearest tenth or hundredth) to match the problem's guidelines.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Circumference
Diameter

Formulas

d = C ÷ π

Theorems

The relationship between circumference and diameter: C = πd

Suitable Grade Level

Grades 6-8