contestada


The center of a circle is at (0, 0), and the radius of the circle is 3(sqrt)2
. Which equation represents the circle?
A) x2 + y2 = 6
B) x2 + y2 = 18
C) x2 + y2 = 12
D) x2 + y2 = 36

Respuesta :

PunIntended

Answer:

B

Step-by-step explanation:

The equation of a circle is denoted by: [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius.

Here, we see that the center is (0, 0), so h = 0 and k = 0. Also, the radius is [tex]3\sqrt{2}[/tex], so r = [tex]3\sqrt{2}[/tex] and [tex]r^2=(3\sqrt{2})^2=9*2=18[/tex].

Then we can write our equation:

[tex](x-0)^2+(y-0)^2=18[/tex]

[tex]x^2+y^2=18[/tex]

The answer is B.

Hope this helps!