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The problem asks for the diameter of a pipe, given that its circumference is 56½ inches.

The relationship between the circumference \( C \) and the diameter \( D \) of a circle is given by the formula:
\[
C = \pi D
\]
To find the diameter, we rearrange the equation:
\[
D = \frac{C}{\pi}
\]

Here, \( C = 56.5 \) inches (since 56½ inches is 56.5 inches).

Now, we can calculate the diameter:
\[
D = \frac{56.5}{\pi} \approx \frac{56.5}{3.1416}
\]

Let me compute this for you.The diameter of the pipe is approximately 18 inches, which matches option **d** in the problem.

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

Here are five related questions to explore:
1. What is the radius of the pipe based on this diameter?
2. How do you calculate the area of a circle using the diameter?
3. What would the circumference be if the diameter was doubled?
4. How can you use the radius to calculate the circumference?
5. How does the value of \( \pi \) affect the accuracy of your calculations?

**Tip:** Always remember the relationship \( C = \pi D \), where knowing either the circumference or diameter lets you find the other.

You have a pipe that is 56½ inches in circumference. What is its diameter?

Learn how to calculate the diameter of a pipe with a circumference of 56½ inches using the formula D = C / π. This step-by-step guide is ideal for students in Grades 6-8 exploring the relationship between circumference and diameter.

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