Answer:
The equation of circle becomes
Step-by-step explanation:
Given equation of circle
We have to write the equation of this circle written in standard form.
The standard equation of a circle with (h,k) as center and radius r, is given by
For the given equation of circle
making perfect squares ,
Rearranging terms, we have,
as
Applying
We have
To make a perfect square add and subtract 3²= 9 , we get,
Similarly, To make a perfect square add and subtract 7²= 49 we get,
Simplify, we get,
Simplify , we have,
Thus, the equation of circle becomes