Question

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

Answer 1

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

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=√(36)=6\ units`

therefore

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