Question

1. Write the standard equation for a circle that has a center of (-5.-2) and a radius of 25.

Answer 1

Answer:

$(x+5)^2+(y+2)^2=625$

Step-by-step explanation:

The center-radius form a circle is $(x-h)^2+(y-k)^2=r^2$. Okay, it is called standard form.  But I like to call it center-radius form because it tells us the center (h,k) and the radius,r.

So we are given the following information r=25 and center=(h,k)=(-5,-2).

So we just plug this in like so:

$(x-h)^2+(y-k)^2=r^2$

$(x--5)^2+(y--2)^2=25^2$

$(x+5)^2+(y+2)^2=625$