Respuesta :
Answer:
Circumference(C) of the circle is given by:
[tex]C = 2 \pi r[/tex]
where, r is the radius of the circle.
As per the statement:
A circular swimming pool has a radius of 15 ft.
⇒radius of the pool(r) = 15 ft
There is a path all around that pool that is three feet wide.
⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft
Substitute these in the formula we have;
[tex]C = 2 \pi r'[/tex]
⇒[tex]C = 2 \cdot 3.14 \cdot 18 = 113.04 ft[/tex]
Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft
The circumference of the outer edge of the path around the pool is; 113.04 ft
How to calculate the circumference of a Circle
We are given;
Radius of inner circle; r = 15 ft
Since there is an external path of 3 ft wide, then radius of new circle created by path is;
R = 15 + 3 = 18 ft
Formula for circumference of a circle is;
C = 2πR
Thus;
Circumference of the outer edge is;
C = 2π × 18
C = 2 * 3.14 * 18
C = 113.05 ft
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