Which equation represents a circle with the same radius as the circle shown but with a center at (-1,1)

(x + 1)² + (y - 1)² = 16

Step-by-step explanation:

Since the standard form for an equation of a circle is

The (h,k) are co-ordinate of your centre of circle, which in this case is (-1,1) and r is the radius of circle.

As we can see in the figure radius = 4units

from centre(1,-2) to (1,-2)

Put these into the equation

(x + 1)² + (y - 1)² = 4²

(x + 1)² + (y - 1)² = 16

The equation of the circle is:

                           or

Step-by-step explanation:

The radius of the given circle as represented in the graph is: 4 units.

The center of a circle is: (-1,1)

We know that the equation of a circle with center (h,k) and radius r is given by:

We have:

r=4 and (h,k)=(-1,1)

Hence, the equation of circle is:

              Hence, equation is:

                           or

10222

Step-by-step explanation: