Determine the equation of the circle with radius 55 and center (−5,3).

Answer 1

The equation of a circle with radius r and center (h,k) is given by:

(x - h)^2 + (y - k)^2 = r^2

Plugging in the values for the radius and center of the given circle:

(x - (-5))^2 + (y - 3)^2 = 55^2

Simplifying:

(x + 5)^2 + (y - 3)^2 = 3025

Therefore, the equation of the circle is (x + 5)^2 + (y - 3)^2 = 3025.