Write the standard form of the equation of a circle with a radius of 2 and center at (4,-5)

Step-by-step explanation:

We are given a circle with a radius of 2 with a center at the point (4, -5).

Assuming x and y to be the coordinates of any point on the circle, we can find the equation of the circle by using the following distance formula:

Putting the given values to get:

Taking square on both sides to get:

Therefore, the equation of the given circle with radius 2 and center at (4, -5) is .

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square