Identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9

Question

asked May 2, 2020 114k views

2 Answers

Natbusa · Answer 1 · 2020-05-06T01:23:17+0000

Answer:

center:(4,-2)

Radius: 3 units

Explanation:

The standard equation of a circle is given as
(x-h)^2+(y-k)^2=r^2 , where (h,k) is the center and r is the radius of the circle.

The given equation is
(x-4)^2+(y+2)^2=9 .

We compare to the standard equation of the circle to get;

x-h=x-4

$\Rightarrow -h=-4$

$\Rightarrow h=4$

and

y-k=y+2

$\Rightarrow -k=2$

$\Rightarrow k=-2$

Hence the center of the circle is (4,-2).

Also, we have
r^2=9

Therefore
r=√(9)

r=3 units.