Question

You want to install a 2 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.

Answer 1

Answer:

157 square yards.

Step-by-step explanation:

Given:

Width of walk around a circular swimming pool = 2 yard

The diameter of the pool = 23 yard

Question asked:

What is the area of the​ walk ?

Solution:

To find area of walk, we will first calculate area of the pool and then combined area of pool and walk then after we will subtract the area of pool from combined area.

The diameter of the pool = 23 yard

Radius of the pool = $\frac{diameter }{2}=\frac{23}{2} =11.5\ yard$

$Area\ of\ circle=\pi r^{2}$

                       $=3.14\times(11.5)^{2} \\=3.14\times11.5\times11.5=415.265\ square\ yard$

As width of walk around a circular swimming pool is 2 yard :

New radius will be = 11.5 + 2 = 13.5 yard

$Combined\ area =\pi r^{2}$

                         $=3.14\times13.5\times13.5=572.265\ square\ yard$

Now, area of the​ walk = Combined area of pool and walk - Area of the pool

                                     = 572.265 - 415.265

                                     = 157 square yards

Therefore, area of the​ walk is 157 square yards.

Answer 2

Answer: The area of the walk is 157 yds²

Step-by-step explanation:

The area of the walk = total area of the swimming pool and the walk - area of the swimming pool.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the swimming pool,

Diameter = 23 yds

Radius = diameter/2 = 23/2 = 11.5 yds

Area = 3.14 × 11.5² = 415.265 yds²

Considering the swimming pool and the walk,

Radius = 11.5 + 2 = 13.5 yds

Area = 3.14 × 13.5² = 572.265 yds²

Therefore, area of the walk is

572.265 - 415.265 = 157 yds²