The distance the water sprays as the sprinkler rotates is 7.34 ft
Since the grassy area is circular, its area is the area of a circle.
Area of a circle
So, A = πr² where r = radius of circle = distance sprinkler sprays
The distance the water sprays
Making r subject of the formula, we have
r = √(A/π)
Since A = 172 ft², substituting the values of the variables into the equation, we have
r = √(A/π)
r = √(172 ft²/π)
r = √(172 ft²/3.142)
r = √(54.749 ft²)
r = 7.34 ft
So, the distance the water sprays as the sprinkler rotates is 7.34 ft
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