Question

What is the general equation of a circle centered at the origin?

Answer 1

@jim_thompson5910

Answer 2

The equation of any circle with center (h,k) and radius r is

\[\Large (x-h)^2 + (y-k)^2 = r^2\]

Answer 3

if the center is the origin, then the center is (0,0)

(h,k) = (0,0)

so h = 0 and k = 0

\[\Large (x-h)^2 + (y-k)^2 = r^2\]
\[\Large (x-0)^2 + (y-0)^2 = r^2\]
\[\Large x^2 + y^2 = r^2\]

Answer 4

so \[\Large x^2 + y^2 = r^2\] is the equation of any circle centered at the origin

Answer 5

Thanks so much

Answer 6

np