Goat

The meadow is a circle with a radius r = 20 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow?

Final Answer:

x =  23.17 m

Step-by-step explanation:

r=20 m S1 + S2 = 21 S S = π r2 S1 = 21 x2(α sin α) S2 = 21 r2((2 π  2α)  sin (2π  2α))  x = 2r cos (α/2)   α = tan α   2 cos α  π  x=1.1587284 r=1.1587284 20=23.17 m



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You need to know the following knowledge to solve this word math problem:

algebraarithmeticplanimetricsbasic operations and conceptsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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