Question

The point (1,4) lies on a circle that is centered at (1, 1). Which statements are correct?

Answer 1

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.