Question

A rectangular field is covered by circular sprinklers as

shown in the diagram. What percentage of the field is not
being watered by the sprinklers?

Answer 1

21%

Explanation:

Area of one sprinkler

a = πr²

a = π10²

a = 314.159 ft²

8 sprinklers

a = 8 * 314.159

a = 2,513.272

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area of field

a = lw

a = 80 * 40

a = 3200

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area not watered

a = 3200 - 2,513.272

a = 686.728

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percentage not watered

p = 686.728 / 3200 * 100%

p = 21.46025%

Rounded

21%