Acow is tethered to one corner of a barn, 10 feet by 10 feet, with a rope 100 feet long. what is the cows maximum grazing area?

Question Is the cow inside or outside of the barn?

We'll assume it is outside the barn because the inside is too easy.

First we have an area that is 3/4 of a circle with a radius of 100 ft.

area=(3.14*100^2)*3/4=(3.14*10,000)*3/4=31,400*3/4=23,550 ft^2.

now we have a quarter circle with a raduis of 90 ft.

area=(3.14*90^2)/4=(3.14*8,100)/4=25,434/4=6,358.5 ft^2.

as an esimate of the remaining 2 slivers of 5*80+5*90=400+450=950 ft^2 (minus a tad)

adding up these pieces I get 23,550+6,358.5+950=30,858.5 ft^2 (minus the tad)

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step-by-step explanation: