Math 1 Quiz
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MODELING & APPLICATIONS
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A city planner is designing a new park with a circular fountain. The park boundary can be modeled as the region inside the ellipse (x−2)225+(y+1)216=1\frac{(x-2)^2}{25} + \frac{(y+1)^2}{16} = 1. The fountain will be circular with center at F(2,−1)F(2, -1) (the center of the ellipse). What is the radius of the largest circular fountain that can fit entirely within the park boundary?
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