Aplayground is in the shape of a square with each side equal to 109 yards. it has skating rinks in the shape of the quadrants of a circle at each corner. if the area of the remaining field is 9055, find the radius of each skating rink. also, find the cost of cementing the skating rinks at $2.50 per square yards. use π = 3.14

1. Radius: 30 yards

2. Cost per square yard:  $7,065

Step-by-step explanation:

The formula to find the area of quarter circle is:

Where "r" is the radius.

Solving for "r":

1. Find the area of the playground with the formula for calculate the area of a square:

Where "s" is the side lenght.

Since:

You get:

All the skating rings are equal.

So, knowing that the area of the remaining field is:

The sum of the areas of all the quarter circles is:

To find the area of each skating ring, divide that result by 4:

Then, the radius is:

2. Mulitply the total area of the skating rings by $2.50 in order to find the cost of cementing the skating rings  per square yard:

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step-by-step explanation: