Grazing in the field

Geometry Level pending

Four horses are tethered at the four corners of a square plot of side 63 m such that they cannot reach to one another find the ungrazed area left.

For this problem, take π 22 7 \pi \approx \frac{22}{7}

675.5 850.5 780.6 785.8

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1 solution

Jayant Nigam
Feb 6, 2016

We know that there are 4 horses at 4 corners that means four quarters therfore their radius will be half of the length of tha square plot i.e(31.5m) then area of four quarters will be(22/7 31.5 31.5)/4 = 3118.5
Then the are of the sqaure field => 63*63 = 3909
Therefore are left ungrazed = 3909-3118.5=> 850.5

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