The coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.
What is a circle?
The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.
The general form of the equation of the circle is given as:-
( x - h )² + ( y - k )² = r²
We have an equation:-
x² + y² - 6y + 1 = 0
x² + y² - 6y + 9 - 9 + 1 = 0
( x - 0 )² + ( y - 3 )² = 8
By comparing the equation from the standard form we will get the centre ( 0,3) and the radius r = 2√2.
Therefore the coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.
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