Mysterious “crop circles” sometimes appear in a farmer’s corn field. A crop circ

Question

Mysterious “crop circles” sometimes appear in a farmer’s corn field. A crop circle is an area inthe middle of his corn field in which all of the corn stalks have been trampled flat, yielding somedesign visible only from the air. Farmer Jones discovered just such a circle in his field. Since theplants were smashed, Farmer Jones suffers a crop yield loss. His crop insurance covers some ofhis lost income by paying him a rate of $2.25 per bushel of corn lost. His yield on the remainderof that field is 125 bushels per acre. He measured the crop circle and found it was 50 feet indiameter. How much money does he get from the crop insurance? Hint, the area of a circle isgiven by PI times the square of the radius and an acre is 4840 square yards

Explanation / Answer

let PI = 3.14159

let radius = 50. / 2.

let area = PI * radius * radius

let areaSqYards = area / 9

let areaAcres = areaSqYards / 4840

let yieldLoss = areaAcre * 125

let lostIncome = yieldLoss * 2.25

$12.68

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