#1**+1 **

The standard form of the circle equation is: (x - x0)^{2} + (y - y0)^{2} = r^{2} , where the coordinates of the centre are (x0, y0) and the radius is r.

Adele Acres: Since this is at the origin x0 = 0 and y0 = 0 and we are told r = 4.

Brown Lake: 5 miles east of the origin means x0 = 5; 4 miles north means y0 = 4; we are told r = 3.

Cady City: 4 miles east means x0 = 4; 4 miles south means y0 = -4 (note that it is negative); we are told r = 5.

Can you take it from here?

Alan Oct 9, 2019