What is the centre and radius of the circle with the equation ?
Centre: ,Radius :
Centre: ,Radius :
Centre: ,Radius :
Centre: ,Radius :
To find the centre and radius of the given circle equation, we first need to write it in the standard form . We can do this by completing the square as follows:
(Adding and subtracting 4 and 9 respectively to complete the square)
So, the standard form of the equation of the circle is
Here,
To calculate the radius of the circle given by the equation ,
we simply take the square root of both sides, i.e.,
,
In this case, we have , so the radius r is given by:
(since the equation holds for any point on the circle)
Therefore, the radius of the circle is .
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