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A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.

Respuesta :

mhanifa

Answer:

  • 108π  ft² or  339.29 ft²

Step-by-step explanation:

Refer to attached picture.

The grazing area of the goat is 3/4 of area of circle with 12 ft radius:

  • A = 3/4(πr²) = 3/4(π*12²) = 108π  or  339.29 ft²
Ver imagen mhanifa

Tied to the corner

Means 1part among 4parts of circle or a quarter area

So grazing field

  • πr²-1/4πr²
  • 3/4πr²
  • 3/4(12)²π
  • 3/4(144)π
  • 108π
  • 339.3ft²

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