Find the equation of the circle whose centre is (1,2) and which passes through the point (4,6).

Explanation

To find the equation of the circle with center (1, 2) that passes through the point (4, 6), we can follow these steps:

### Step 1: Write the standard form of the equation of the circle
The standard form of the equation of a circle with center (h, k) and radius r is given by:
\[ (x - h)^2 + (y - k)^2 = r^2 \]
Here, the center (h, k) is (1, 2). Therefore, we can write:
...