Question

If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its center point is

Answer 1

The center of the given circle is (-5,7)

Explanation:

step1:-

The Equation of the circle having center and radius

`(x-h)^(2) +(y-k)^(2) =r^(2)`

In this circle form the center is (h,k) and r be a radius

step2:-

The given equation of the circle is (x+5)^2+(y-7)^2=36

comparing the general form of circle equation is

`(x-h)^(2)+(y-k)^(2) =r^(2)`

so the center of the given circle is (h,k) = (-5,7)