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Question
Four cows are tethered at four corners of a square plot of side 50m, so that’ they just cant reach one another. What area will be left ungrazed.
Solution
Side of square plot (s) = 50m
Area grazed by four cows is area of sectors represented by 1, 2, 3 and 4.
Radius of each quadrant = 25m = r.
Area of square plot = 𝑠2 = 502 = 2500𝑚2
Area of each quadrant =`1/4 pir^2 =1/4×22/7× 25 × 25 = (625 × 3.14) ×1/4`
Area of ungrazed land = (area of square plot) – 4(area of quadran
=`2500 − 4 (1/4× 3.14 × 625)`
= 2500 – 1962.5 = 537.5 m2
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