A circular flower garden has an area of 314 m2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)

Given

Area of the circular flower garden = 314 m2

Sprinkler at the centre of the garden can cover an area that has a radius = 12 m

Find out

We have to determine if the sprinkler water the entire garden

Solution

We know that

Area of the circular flower garden = 314 m2

Sprinkler at the centre of the garden can cover an area that has a radius = 12 m

Area of the circular flower garden = πr2

314 = 3.14 × r2

314/3.14 = r2

r2 = 100

r = √100

r = 10 m

∴Radius of the circular flower garden is 10 m.

Since, the sprinkler can cover an area of radius 12 m

Answer

Hence, the sprinkler will water the whole garden.

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