Respuesta :
Answer:
(x - 2)² + (y - 9)² = 9
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 is the radius
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 ) = (2, 9) and (x₂, y₂ ) = (2, 6)
r = [tex]\sqrt{(2-2)^2+(6-9)^2}[/tex]
= [tex]\sqrt{0^2+(-3)^2}[/tex]
= [tex]\sqrt{0+9}[/tex] = [tex]\sqrt{9}[/tex] = 3
Centre = (h, k) = (2, 9) and r = 3, thus equation of circle is
(x - 2)² + (y - 9)² = 9
