Answer:
Step-by-step explanation:
A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.
The center of the circle is (3, 5)
The formula for determining the equation of a circle is expressed as
(x - h)² + (y - k)² = r²
Where
r represents the radius of the circle
h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,
h = 3 and k = 5
Radius, r = 3
Substituting into the formula, it becomes
(x - h)² + (y - k)² = r²
(x - 3)² + (y - 5)² = 3²
(x - 3)² + (y - 5)² = 9