what would the equation be of an circle with the given center and radius is as follows:

Center at (1,2)
Radius = 1/2

To find the equation of a circle with a given center and radius, you can use the formula:

(x - h)^2 + (y - k)^2 = r^2

Where (h, k) represents the center of the circle, and r represents the radius.

For the given information:
Center: (1, 2)
Radius: 1/2

Plug in the values into the formula:

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

Simplifying and expanding:

(x - 1)^2 + (y - 2)^2 = 1/4

This is the equation of the circle with a center at (1, 2) and a radius of 1/2.