Geometry

Question Analysis

The main focus is on using the area formula of a circle and fraction arithmetic to find the area of the non - playground part. First, calculate the total area of the circular park, then determine the fraction of the non - playground part, and finally multiply to get the result.

Key Concept Explanation

The area formula of a circle is , where  is the radius. To find the area of a certain part of the circle, we multiply the fraction representing that part by the total area of the circle. 

Step - by - Step Solution

1. Calculate the total area of the circular park using the formula . Given  yards,  square yards.

2. Determine the fraction of the park that is not the playground: .

3. Calculate the area of the non - playground part:

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