Question

Choose the appropriate description for the equation. Given: x 2 + y 2 = 36

Answer 1

Answer:

The equation represent a circle with center at the origin and radius 6 units

Step-by-step explanation:

we know that

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

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$x^{2} +y^{2}=36$

so

the center of the circle is the origin $(0,0)$

and the radius is

$r=\sqrt{36}=6\ units$

therefore

The equation represent a circle with center at the origin and radius 6 units