What rope length is needed to tether a cow to graze an area of 9856 sq m:________?
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Answer: A. 56m
Explanation
The area grazed by a tethered animal forms a circular region around the tether point. Dividing the total grazed area by pi and taking the square root determines the circular radius. The calculated radius equals fifty six meters, representing the exact length of the rope. A tethered animal moves in a circular path where the rope length acts as the radius. Circle area formulas relate the boundary surface to the square of the radius length. Extracting square roots converts circular area measurements back into linear distance units.
Agricultural planning requires calculating grazing areas to manage livestock nutrition and pasture rotation. Tethering and fencing layouts rely on circular geometry to determine boundary requirements. Practical math problems connect geometric formulas to everyday farming and animal husbandry scenarios. Option b suggests sixty four meters which overestimates the required radius length. Option c proposes eighty eight meters resulting from an incorrect division by pi. Option d provides a large length that corresponds to an area much greater than specified.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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