You want to install a 1 yd. Wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for pi π.

75.36 yd²

Step-by-step explanation:

To solve, you need to consider the walkway and the pool as one circle and find the are.  The diameter of this circle is 25 yd.  This means that the radius is 12.5 yd.

A = πr²

A = π(12.5)²

A = 156.25π

A = 490.625 yd²

Then, you need to find the area of the pool alone.  Since the diameter of the pool is 23 yd., the radius is 11.5 yd.

A = πr²

A = π(11.5)²

A = 132.25π

A = 415.265 yd²

Subtract the two areas to find the are of the walk.

490.625 - 415.265 = 75.36 yd²

The area is 75.36 yd²