Question

What is the equation of a circle centered at (-3,1) with radius 7?

Answer 1

The standard form of a circle is
`(x-h)^2+(y-k)^2=r^2`, where h and k are the coordinates of the center and r is the radius. We will fill in accordingly with what we have.
`(x-(-3))^2+(y-1)^2=7^2`. Simplifying a bit we have
`(x+3)^2+(y-1)^2=49`. That's the equation for your circle.