Answer:
(x + 1)² + (y - 6)² = 50
Explanation:
The circle's standard form equation is
(x - h)² + (y - k)² = r²
where the radius is r and the center's coordinates are (h, k).
The radius is the distance a point on a circle travels from its center.
Apply the distance formula to determine the variable r.
R is equal to sqrt(x_2 - x_1) +(y_{2}-y_{1})^2 }
and (x2, y2) = (-6, 1) with (x1, y1) = (-1, 6)
r = \sqrt{(-6+1)^2+(1-6)^2}
= \sqrt{(-5)^2+(-5)^2}
= \sqrt{25+25}
= \sqrt{50}
If (h, k) = (-1, 6)
(x - (- 1))² + (y - 6)² = (\sqrt{50} )2, which is
(x + 1)2 + (y - 6)2 = 50 is the circle's equation.