Answer:
The circle's radius is 3 units.
Step-by-step explanation:
Let's get to the answer using the formula for EQUATION OF A LINE at the center of a circle.
The equation is expressed as:
(x - h) ^2 +. (y - k) ^ 2 = r ^2
Where:
(h, k) = The center of the circle
(x, y) = Some points around the circle
(r) = Radius of the circle
Let's apply the formula to solve the question:
(x - h) ^2 +. (y - k) ^ 2 = r ^2
(1 - 1)^2 + (4 - 1)^2 = r^2
0^2 + 3^2 = r^2
0 + 9 = r^2
r^2 = 9
r = √9
r = 3
Therefore,
The circle's radius is 3 units.