Which of the following equations correctly represents a circle centered at the origin with a radius of 7?A. (x - 7)2 + y2 = 49 B. x2 + y2 = 72 C. x2 + y2 = 7 D. (x - 7)2 + (y - 7)2 = 72

Respuesta :

Answer:

Option B. [tex](x)^{2}+(y)^{2} =7^{2}[/tex]

Step-by-step explanation:

we know that

The equation of a circle into center radius form is equal to

[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

where

(h,k) is the center

r is the radius

In this problem we have

[tex](h,k)=(0,0)[/tex] -----> because the center is at the origin

[tex]r=7\ units[/tex]

substitute

[tex](x-0)^{2}+(y-0)^{2} =7^{2}[/tex]

[tex](x)^{2}+(y)^{2} =7^{2}[/tex]