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Step-by-step explanation:

A equation of circle is given to us . From the equation we need to find out the centre of the circle .The equation is :-

Now we know the standard equation of a circle as , ( x - h )² + (y - k)² = r² , where

Now , let's simplify out the equation and convert it into standard form .

Step 1: Subtract 42 from both sides :-

Step 2:Group out the like terms:-

Step 3: Complete the square for x² :-

Step 4: Convert the RHS into whole square.

Step 6: Convert it into the standard form .

Hence here we got our equation in the standard form . On comparing it to the standard form we get that ,

step-by-step explanation:

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