To determine the suitable diameter for the circular spa pool in the Solia family's garden, we need to find the maximum possible diameter that will fit within the given area. The maximum diameter is found by calculating the square root of the area divided by π. Based on the dimensions of the garden (20 m by 14 m), the suitable diameter for the circular spa pool is approximately 7.90 m.
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To determine the suitable diameter for the circular spa pool, we need to find the maximum possible diameter that will fit within the given garden area. The garden has dimensions of 20 m by 14 m, so we need to find a diameter that is less than or equal to the smaller dimension (14 m).
The maximum diameter would be the length of a side of a square with an area equal to the garden area. Since both the length and width of the garden are given, we can use either dimension to calculate the maximum diameter.
In this case, we will use the width of the garden (14 m). The area of the square with a side length of 14 m is 14 m x 14 m = 196 m². Since we know the area of a circle is πr², we can calculate the maximum diameter by finding the square root of the area divided by π.
Diameter = √(Area/π) = √(196/π) ≈ 7.90 m
Therefore, a suitable diameter for the circular spa pool that will fit in the given garden area is approximately 7.90 m.