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Ans:

Here we have the centre (-(-10)/2, -8/2) which is (5,-4)

and the radius √((-10/2)²+(8/2)²+ 8) = √(25+16+ 8) = √49 which is 7.

The equation of the circle is (x-5)² + (y+4)² = 49

x^2-10x +y^2+8y = 8

x^2-10x+25 +y^2+8y+16 = 25+16+8

(x-5)^2 +(y+4)^2 = 49

Circle with center (5,-4) and radius 7