Question
A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. What is the circumference of the outer edge of the path around the pool? Use 3.14 for pie.
Answers
GPT-4o mini
To find the circumference of the outer edge of the path around the pool, we first need to determine the radius of the outer edge of the path.
The radius of the pool is 15 ft, and the path around the pool adds an additional 3 ft. Therefore, the radius of the outer edge of the path is:
\[
15 \text{ ft} + 3 \text{ ft} = 18 \text{ ft}
\]
Next, we will use the formula for the circumference of a circle, which is given by:
\[
C = 2 \pi r
\]
where \( C \) is the circumference and \( r \) is the radius. Here, we substitute \( r = 18 \text{ ft} \) and \( \pi \approx 3.14 \):
\[
C = 2 \times 3.14 \times 18
\]
Calculating this step-by-step:
1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Now, multiply by the radius: \( 6.28 \times 18 \).
Calculating \( 6.28 \times 18 \):
\[
6.28 \times 18 = 113.04
\]
Thus, the circumference of the outer edge of the path around the pool is:
\[
\boxed{113.04} \text{ ft}
\]
The radius of the pool is 15 ft, and the path around the pool adds an additional 3 ft. Therefore, the radius of the outer edge of the path is:
\[
15 \text{ ft} + 3 \text{ ft} = 18 \text{ ft}
\]
Next, we will use the formula for the circumference of a circle, which is given by:
\[
C = 2 \pi r
\]
where \( C \) is the circumference and \( r \) is the radius. Here, we substitute \( r = 18 \text{ ft} \) and \( \pi \approx 3.14 \):
\[
C = 2 \times 3.14 \times 18
\]
Calculating this step-by-step:
1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Now, multiply by the radius: \( 6.28 \times 18 \).
Calculating \( 6.28 \times 18 \):
\[
6.28 \times 18 = 113.04
\]
Thus, the circumference of the outer edge of the path around the pool is:
\[
\boxed{113.04} \text{ ft}
\]