SOLUTION: The equation of a circle is (x−4)^2+ (y+2)^2=16. B) Find the radius of the circle with the given equation. Can somone give me step by step explanations? Thank yo

Algebra ->  Circles -> SOLUTION: The equation of a circle is (x−4)^2+ (y+2)^2=16. B) Find the radius of the circle with the given equation. Can somone give me step by step explanations? Thank yo      Log On


   

Question 877166: The equation of a circle is (x−4)^2+ (y+2)^2=16.
B) Find the radius of the circle with the given equation.
Can somone give me step by step explanations?

Thank you in advance!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(x−4)^2+ (y+2)^2=16, also written as (x−4)^2+ (y-(-2))^2=4^2

is in the form (x−h)^2+ (y-k)^2=r^2

We can see that h = 4, k = -2, r = 4

So the center is (h,k) = (4,-2) and the radius is r = 4 units.