Answer:
(x - 3)² + (y - 2)² = 17
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
here (h, k) = A(3,2), thus
(x - 3)² + (y - 2)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 1, 1) ← point on circle
r = [tex]\sqrt{(-1-3)^2+(1-2)^2}[/tex] = [tex]\sqrt{(-4)^2+(-1)^2}[/tex] = [tex]\sqrt{17}[/tex]
Hence r² = ([tex]\sqrt{17}[/tex] )² = 17
(x - 3)² + (y - 2)² = 17 ← equation of circle
