Question

Write the equation of the circle graphed below.

Answer 1

The equation of a circle with its centre at the point (h,k) and the radius r is given by:

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

In your case, the centre of the circle is at (h,k) = (0,3) and the radius is r = 1.5.

Plug these values into the equation:

(x-0)^2 + (y-3)^2 = 1.5^2

simply:

x^2 + (y-3)^2 = 2.25