If the equations of the two diameters of a circle are `x-y=5\ and \ 2x+y=4` and the radius of the circle is 5, find the equation of the circle.

Explanation

To find the equation of the circle given the equations of two diameters and the radius, we can follow these steps:

### Step 1: Identify the equations of the diameters
The equations of the two diameters are:
1. \( x - y = 5 \) (Equation 1)
2. \( 2x + y = 4 \) (Equation 2)

### Step 2: Solve the equations to find the center of the circle
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