Question

A circle is described by the equation (x−12)2+(y−32)2=49. What are the coordinates for the center of the circle and the length of the radius?

Answer 1

the format of the equation of a circle is
(x - h)^2 + (y - k)^2 = r^2

where
(h, k) is the center
and r is the radius

in this case
h = 12
y = 32
and
r = sqrt(49) = 7

therefore
center = (12, 32)
radius = 7