Question

What is the equation for a circle with a center of (0, 2) and a radius of 11?

Answer 1

x^2 + y^2 = a^2
is the equation for a circle
where a is the radius

Answer 2

the general form of the circle is

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

(h, k) is the centre and r is the radius

you know the centre is (0, 2) and r = 11

substitute and then simplify