Question

What is the center and radius of the circle?

(x-1)^2 + y^2= 36

Answer 1

Center = ( 1, 0)

Radius = 6 units

Explanation:

`{(x - 1)}^(2) + {y}^(2) = 36 \\ \\ {(x - 1)}^(2) + {(y - 0)}^(2) = {6}^(2) \\ \\ equating \: it \: with \\ \\ {(x - h)}^(2) + {(y - k)}^(2) = {r}^(2) \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units`