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There are two sprinklers that spread water in a circular sector (90 degrees). They only spray in an 18-foot radius. (See the diagram: One sprinkler is in the top left corner and the other is in the bottom right corner. Part of the lawn is not covered by either sprinkler.)
The lawn measures 18' by 36', and each sprinkler has a spray radius of 18'.
What is the area of the section of lawn that is not watered by either sprinkler?

There are two sprinklers that spread water in a circular sector 90 degrees They only spray in an 18foot radius See the diagram One sprinkler is in the top left class=

Respuesta :

mhanifa

Answer:

  • 139.32 ft²

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Area of the rectangular lawn

  • A = lw =  18 × 36 = 648 ft²

The area covered by sprinklers, two quarter-circles

  • A = 2 × 1/4 × πr² = 1/2 × 3.14×18² = 508.68 ft²

Area of not watered section

  • 648 - 508.68 = 139.32 ft²

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