Question
A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path. About how many feet of fencing are needed to go around the pool path? Use 3.14 for pie.
Answers
GPT-4o mini
To find the amount of fencing needed to go around the circular path surrounding the swimming pool, we first need to calculate the radius of the entire area including the path.
1. **Calculate the radius of the pool with the path**:
- The radius of the pool is 28 ft.
- The width of the path is 4 ft.
- Therefore, the total radius including the pool and the path is:
\[
\text{Total radius} = 28 \text{ ft} + 4 \text{ ft} = 32 \text{ ft}
\]
2. **Calculate the circumference of the circle that includes the path**:
- The formula for the circumference \( C \) of a circle is given by:
\[
C = 2 \pi r
\]
- Substituting the total radius:
\[
C = 2 \times 3.14 \times 32 \text{ ft}
\]
3. **Perform the calculation**:
\[
C = 2 \times 3.14 \times 32 = 6.28 \times 32
\]
\[
C = 200.96 \text{ ft}
\]
Thus, the total amount of fencing needed to go around the pool path is approximately **200.96 feet**. If rounded, you could say around **201 feet** of fencing is needed.
1. **Calculate the radius of the pool with the path**:
- The radius of the pool is 28 ft.
- The width of the path is 4 ft.
- Therefore, the total radius including the pool and the path is:
\[
\text{Total radius} = 28 \text{ ft} + 4 \text{ ft} = 32 \text{ ft}
\]
2. **Calculate the circumference of the circle that includes the path**:
- The formula for the circumference \( C \) of a circle is given by:
\[
C = 2 \pi r
\]
- Substituting the total radius:
\[
C = 2 \times 3.14 \times 32 \text{ ft}
\]
3. **Perform the calculation**:
\[
C = 2 \times 3.14 \times 32 = 6.28 \times 32
\]
\[
C = 200.96 \text{ ft}
\]
Thus, the total amount of fencing needed to go around the pool path is approximately **200.96 feet**. If rounded, you could say around **201 feet** of fencing is needed.