The center of the circle is at point (3, -6) having a radius of 6 units.

Question

a.) Find the equation of the circle.
b.) What is the distance from the center of the circle to the line y=2x+10.

Answer 1

recall the standard form (x-h)^2 + (y-k)^2 = r^2
(a) plug in your numbers
(b) the distance from (h,k) to the line Ax+By+C=0 is
|Ah+Bk+C|/√(A^2+B^2)