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Answer:
Circular area by the sprinkler = πr2
= 3.14 * 12 * 12
= 3.14 * 144
= 452.16 m2
Area of the circular flower garden = 314 m2
Since Area of circular flower garden is smaller than area by sprinkler.
Therefore, the sprinkler will water the entire garden
Area of circular flower garden = 314 m² ( given )
Area of ground that the sprinkler can water should be of radius 12 m. ( according to the question )
Therefore, We need to find the area of the circular flower garden to tell whether the sprinkler will water the circular flower garden or not.
We know,
Area of circular flower garden = π r²
314 = πr² ( given, area = 314 m² )
r² = 314/3.14 ( given , π = 3.14 )
r² = 100
r = 10 m
Since, 10 m is less than 12 m.
Thus the sprinkler will water the circular flower garden.