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5 August, 16:01

Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers?

(1) The lawn is rectangular and its area is 32 square yards.

(2) Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.

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  1. 5 August, 16:29
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    Answer:yes, the lawn can be watered completely by 4 installed sprinklers.

    Step-by-step explanation:

    The lawn is rectangular and its area is 32 square yards. Sprinklers are to be installed and each sprinkler waters in a circle. The formula for determining the area of a circle is expressed as

    Area = πr²

    Where

    r represents the radius of the circle.

    π is a constant whose value is 3.14

    If each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards., the the maximum area that can be watered by each sprinkler would be

    Area = 3.14 * 2² = 12.56 yards²

    If 4 sprinklers are completely installed, then the total area that they can water would be

    12.56 * 4 = 50.24 yards²

    Therefore, the lawn can be watered completely by 4 installed sprinklers.
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