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 A fence problem

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A fence encloses a square field whose sides measure 12m . A horse is tethered to a rope that is attached to a corner post of the feild so that the horse is outside the fence. If the rope holding the horse is 15m long, Find the total grazing area of the horse in square metres

 Feb 21, 2021

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avatar+128408 
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The  horse  can  cover one  area of  3/4  of  a circle  with a radius of  15m   = (3/4)pi (15)^2

 

Additionally  the horse  can  cover  the area of  two quarter-circles with  a radius  of 3m  =  pi (3)^2 / 2

 

So....the   horse   can    graze in an area of   pi  [ 15^2 * 3/4   + 3^2 / 2  ]  ≈ 544.28 m^2

 

cool cool cool

 Feb 21, 2021

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