Personal Comment: I love the idea behind this and how you solve it! Easier than I thought at first but still tricky

Grazing Enigma

What we know: There is a cow. The cow is tied to the corner of a building with a cord(or whatever they use to tie cows to buildings) that is 30 feet long. The building's dimensions are 15 feet by 20 feet. The cow begins to graze.

Enigma: What is the total grazing area of the cow? Hint: area of a circle = radius squared times pi. You can leave the answer in terms of pi if you want. (pi = 3.14159.....)


Solution: The cow can only graze in 3/4 of the area of a cirle with radius 30, and 1/4 a circle with radius 15 and another 1/4 circle with radius 10.

Therefore, total area = [(3/4)*(30^2)*(pi)] + [(1/4)*(15^2)*(pi)] + [(1/4)*(10^2)*(pi)]

Which simplifies to:

675(pi) + 56.25(pi) + 25(pi) = 756.25(pi)

or

2375.82944428....


See who got this right


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