Question

Write an equation of the circle with center (-5,2) and diameter 6.

Answer 1

Answer:

$(x+5)^2+(y-2)^2=36$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius, thus:

$(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36$

This means that our equation for the given circle is $(x+5)^2+(y-2)^2=36$