SOLUTION: Find an equation of a circle satisfying the given conditions : center (-8,5) with circumference 10π units Can you please help me out? Thanks so much in advance:) Can you a

Algebra ->  Circles -> SOLUTION: Find an equation of a circle satisfying the given conditions : center (-8,5) with circumference 10π units Can you please help me out? Thanks so much in advance:) Can you a      Log On


   

Question 798397: Find an equation of a circle satisfying the given conditions : center (-8,5) with circumference 10π units
Can you please help me out? Thanks so much in advance:)
Can you also please show the work it would really help me:)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of a circle satisfying the given conditions : center (-8,5) with circumference 10π units
.
Standard form of an equation is:
(x - h)^2 + (y-k)^2 = r^2
where
(h,k) is the center
r is the radius
.
The problem already gave you the center as (-8,5)
so already you know:
h = -8
k = 5
.
You get the radius from the given circumference of 10(pi)
circumference = 2(pi)r
10(pi) = 2(pi)r
10 = 2r
5 = r (radius)
.
Now, we just plug it in to:
(x - h)^2 + (y-k)^2 = r^2
(x - (-8))^2 + (y-5)^2 = 5^2
(x+8)^2 + (y-5)^2 = 25 (answer)