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=( √(6))^2`. Simplifying that down we have an equation of
`(x+2)^2+(y-5)^2=6`. There you go!