Question

The circle below is centered at the point (5 3 ) and has a radius of length 4 what is its equation

Answer 1

The center-radius form of the circle equation is in the format:
(x – h)2 + (y – k)2 = r2,
the center being at the point (h, k) 
the radius being "r".

center: (5,3)
radius: 4

Using the equation: (x – h)2 + (y – k)2 = r2,
the circle equation is (x - 5)^2 + (y - 3)^2 = 4^2
the circle equation is (x - 5)^2 + (y - 3)^2 = 16