Find the centre and radius of the circle `(x-2)^(2)+(y+5)^(2)=49`

Explanation

To find the center and radius of the circle given by the equation \((x-2)^{2} + (y+5)^{2} = 49\), we can follow these steps:

### Step 1: Identify the standard form of the circle's equation
The standard equation of a circle is given by:
\[ (x - \alpha)^{2} + (y - \beta)^{2} = r^{2} \]
where \((\alpha, \beta)\) is the center of the circle and \(r\) is the radius.
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