Answer:
(x + 4)² + (y - 7)² = 13
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center and 'r' is the radius of the circle.
If the center of the circle is (-4, 7) and point on the circle is (-1, 9)
Then the length of the radius = Distance between the center and the point lying on the circle
= [tex]\sqrt{(-4+1)^2+(7-9)^2}[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
Therefore, equation of the circle will be,
(x + 4)² + (y - 7)² = [tex](\sqrt{13})^2[/tex]
(x + 4)² + (y - 7)² = 13
