What is the radius of the circle given the equation x 2 - 6x + y 2 + 10y - 2 = 0?

we are given

Firstly, we will change it into standard equation of circle

that is

where r is radius

(h,k) is center

now, we can change our equation into this form

To change our equation into this form, we need to complete x square and y square

step-1: Move 2 on right side

step-2: Complete x square

step-3: Complete y square

step-4: Combine right side terms

now, we can compare with our equation

and we will get

radius =r=6...............Answer

center=(h,k)=(3,-5)........................Answer

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