Answer:
The radius is 4 units....
Step-by-step explanation:
We can find the radius of a circle through the following procedure:
Complete the square for x and y
Put in the format for a circle. (x-h)² + (y-k)² = r², center at (h,k) with radius = r
x2+y2−10x+6y+18=0
Now subtract 18 from both sides.
x^2+y^2−10x+6y+18-18=0-18
x^2 - 10x + y^2 + 6y = -18
(x-5)^2 - 25 + (y+3)^2 - 9 = -18
(x-5)^2 + (y+3)^2 = -18+9+25
(x-5)^2 + (y+3)^2 = 16
So,
r^2 = 16
Take square root at both sides:
√r^2 = √16
r = 4
Thus the radius is 4 units....
