Jake tied his carabao to a peg in the field. In the evening, dark clouds began to form and the weather turned bad. Consecutive lightning and thunder frightened the carabao causing it to run in circles straining its rope. In the morning when the weather calmed down, Jake sent his son to untie the carabao. His son was surprised to see a perfectly formed circle around the carabao’s peg. If the circle formed by the carabao’s footprints is given by the equation x2 + y2 - 6x + 8y - 119 = 0, how long is the carabao’s rope if the scale used is 1 meter is to 2 units? Please illustrate the circle and show the solution, thank you very much!

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 40CR
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Jake tied his carabao to a peg in the field. In the evening, dark clouds began to form and the weather turned bad. Consecutive lightning and thunder frightened the carabao causing it to run in circles straining its rope.

In the morning when the weather calmed down, Jake sent his son to untie the carabao. His son was surprised to see a perfectly formed circle around the carabao’s peg.

If the circle formed by the carabao’s footprints is given by the equation x2 + y2 - 6x + 8y - 119 = 0, how long is the carabao’s rope if the scale used is 1 meter is to 2 units?

Please illustrate the circle and show the solution, thank you very much!

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