Write the equation of the circle with radius 2 and center (2,-3).

x^2 + y^2 - 4x + 6y - 3 = 0

Step-by-step explanation:

(x-a)^2 + (y-b)^2 = r^2 is the equation of a circle which has center point (a,b) and radius r.

So in this question (2,-3) is the center and r=4.

Then we can write the equation as,

(x-2)^2 + (y+3)^2 = 16

x^2 + y^2 - 4x + 6y - 3 = 0

That is the Equation of the circle.

the answer for this is 0.25 km. : )