Standard form of an equation

Question

Write the standard form of the equation of the circle with the given characteristics.

Center: (−1, 4);solution point: (0, 0)

Answer 1

The standard equation of a circle is as follows:

(x-h)²+(y-k)²=r² where (h,k) is the center. Plugging in the center values

(x+1)²+(y-4)²=r² Next, plug in the known point (0,0) for (x,y)

(0+1)²+(0-4)²=r² Solve

(1)²+(-4)²=r²

1+16=r²

17=r²

The equation is: (x+1)²+(y-4)²=17