If the lines 2x-3y+1=0 and 3x+y-4=0 lie along diameters of a circle of circumference is `10pi` . Then find the equation of the circle.

Explanation

To find the equation of the circle given the lines \(2x - 3y + 1 = 0\) and \(3x + y - 4 = 0\) as diameters and a circumference of \(10\pi\), we can follow these steps:

### Step 1: Find the radius of the circle
The circumference \(C\) of a circle is given by the formula:
\[ C = 2\pi r \]
Given that \(C = 10\pi\), we can set up the equation:
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