Final answer:
The center of the circle is (3/2, 1/4) and the radius is 2/5.
Step-by-step explanation:
The question asked requires finding the center and radius of a circle given in the standard form of a circle equation, which is typically (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
However, the equation provided x-(3)/(2)^2+y-(1)/(4)^2=(4)/(25) appears incorrectly formatted. Considering a correctly structured version (x - 3/2)^2 + (y - 1/4)^2 = (4/25), the center of the circle would be (3/2, 1/4) and the radius would be the square root of (4/25), which equals 2/5. Note that the radius is always positive, and thus we only take the positive square root.