Find the equation of the circle with centre at `((1)/(2),(1)/(4))` and radius `(1)/(4)`.

Explanation

To find the equation of the circle with center at \((\frac{1}{2}, \frac{1}{4})\) and radius \(\frac{1}{4}\), we can follow these steps:

### Step 1: Write the standard form of the equation of a circle
The standard form of the equation of a circle with center \((a, b)\) and radius \(r\) is given by:
\[ (x - a)^2 + (y - b)^2 = r^2 \]

...