coordinate geometry math homework help

Idea= you can use coordinates of the center of a circle and its radius to write an equation for a circle

Problem=

A gardener wants the 3 rosebushes in her garden to be watered by a rotating water sprinkler. The gardener draws a diagram of the garden using a grid in which each unit represents 1 ft. The rosebushes are (1,3), (5,11), and (11,4). She wants to position the sprinkler equidistant from each rosebush.

1. Where should the gardener place the sprinkler?

2. What equation describes the boundary of the circular region that the sprinkler will cover?

 
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