Write the General form equations for the following circles:

Question

1.
A circle with center (1, -6) and radius 4
2.
A circle with center (6, 8) and radius 10
3.
A circle with center (0, 3) and radius 2√3
4.
A circle with center (-0.5, 5.5 ) and radius 8.4
5.
A circle with center (a, b) and radius c

Answer 1

(x-h)^2 + (y-k)^2 = r^2
center at (h,k) radius r

so for example number 3
center at h = 0 and k = 3
radius is 2 sqrt 3 so r^2 = 4*3 = 12
then
(x-0)^2 + (y-3)^2 = 12

or for number 5
(x-a)^2 +(y-b)^2 = c^2