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Goat on a Rope : Length of rope so it can graze half of the field?

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A goat is tethered to a stake at the edge of a circular field with radius 1 unit. Use a computer or graphing calculator to determine how long the goat's rope should be so that the goat can graze over half of the field.

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Solution Summary

The length of rope that allows a goat to graze half of a circular field is calculated. The solution is detailed and well presented. Diagrams are also provided.

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