What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

18

Step-by-step explanation:

x^2 + y^2 – 14x + 10y = 250

x^2 -14x + y^2 + 10y = 250

x^2 - 14x + (-7)^2 + y^2 + 10y + (5)^2 = 250 + (-7)^2 +  (5)^2

(x-7)^2 + (y + 5)^2 = 250 + 49 + 25

(x-7)^2 + (y + 5)^2 = 324

Comparing with the general circle (x - b)^2 + (y - a)^2 = r^2

we have; r^2 = 324

               r = square root(324)

                r = 18