Find the center and radius of the circle with the equation: (x-5)^(2) +(y+1)^(2) =4

Question

Find the center and radius of the circle with the equation:

`(x-5)^(2) +(y+1)^(2) =4`

Answer 1

center(5,-1)

radius 2

Explanation:

circle equation (x-a)²+(y-b)² = r² has radius r and center (a,b)

a = -(-5), b = -(1)

center = (5, -1)

r = √4 = ±2

since radius length cannot be negative, r = 2