what is the radius of the inside of the sewer pipe if the circumference of the outside of the pipe is 12.56 ft 

To determine the radius of the inside of the sewer pipe, we first need to find the radius of the outside of the pipe using the given circumference. Then, we will subtract the thickness of the pipe to get the inner radius.

Given:
- Circumference of the outside of the pipe, \( C = 12.56 \) ft

The formula for the circumference of a circle is:
\[ C = 2\pi R \]
where \( R \) is the radius of the outside of the pipe.

Solving for \( R \):
\[ R = \frac{C}{2\pi} \]

Substitute the given circumference:
\[ R = \frac{12.56}{2\pi} \]
\[ R = \frac{12.56}{2 \times 3.1416} \]
\[ R = \frac{12.56}{6.2832} \]
\[ R = 2 \, \text{ft} \]

Therefore, the radius of the outside of the pipe is 2 feet.

To find the inner radius, we need to know the thickness of the pipe, which has not been provided. Assuming that the thickness is \( t \), the inner radius \( r \) would be:
\[ r = R - t \]

If you provide the thickness of the pipe, I can calculate the inner radius for you. If not, the best we can determine with the given information is the outer radius of 2 feet.

Would you like to provide the thickness of the pipe, or do you have any other questions?

### Questions to ask:
1. What is the thickness of the sewer pipe?
2. Can you provide the diameter of the inside of the pipe?
3. Are there any other dimensions or measurements given for the sewer pipe?
4. Do you need the solution in a different unit of measurement?
5. Would you like to know how to calculate the volume of the sewer pipe?

**Tip:** When dealing with circular measurements, remember that the circumference is always related to the radius through the formula \( C = 2\pi R \).

Learn how to calculate the inner radius of a sewer pipe when given the circumference of the outer pipe. Follow a step-by-step math solution using the formula for circle circumference. Suitable for high school students studying circle geometry.

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