Question

Q3.) Write the standard form of the equation of the circle with the given center and radius.

Answer 1

The center has coordinates h = -2, k = 5.  The radius is sqrt(6).  The equation for a circle is as follows: $(x-h)^2+(y-k)^2=r^2$.  Filling in using our given info we have $(x-(-2))^2+(y-5)^2=( \sqrt{6})^2$.  Simplifying that down we have an equation of $(x+2)^2+(y-5)^2=6$.  There you go!