# Circle Center From Three Points

Geometry Level 4

The following three points lie on a circle in the $$xy$$ plane. Coordinates are approximated to three decimal places.

 $$(x_1,y_1)$$ $$(8.590,9.213)$$ $$(x_2,y_2)$$ $$(3.000,12.000)$$ $$(x_3,y_3)$$ $$(-3.062,1.500)$$

If the center of the circle has coordinates $$(h,k)$$, determine $$(h+k)$$.

Details and Assumptions:
Round $$h$$ and $$k$$ individually to the nearest integer before adding them.

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