The center of a circle is at (−5, 2) and its radius is 7. what is the equation of the circle? (x−5)2+(y+2)2=14 (x+5)2+(y−2)2=49 (x+5)2+(y−2)2=14 (x−5)2+(y+2)2=49

Second option:

Step-by-step explanation:

The center-radius form of the circle equation is:

Where "r" is the radius and the center is at the point

Since the center of this circle is at the point , we can identify that:

We know that the radius is 7, then:

Now we must substitute these values into the equation   to find the equation of this circle.

This is:

combine all like terms then its just a 2 step equation