Pi about goat?

Geometry Level 2

Alex's house is a 10mx10m house which is in the middle of a 40mx40m grass land. They have a goat which they used a 15m rope to keep it from going away which was tied on the middle of a side of the house as above.Now, Use π π = 3 3 , calculate the area the goat can eat from the grass land.


The answer is 487.5.

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1 solution

X X
Jul 1, 2018

If the rope is straight,then the area is 1 5 2 π × 1 2 15^2\pi\times\frac12 .If the rope isn't straight,then the area is ( 15 5 ) 2 π × 1 4 × 2 (15-5)^2\pi\times\frac14\times 2 ,total area = 162.5 π =162.5\pi

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