Question

please help asap. this circle is centered at the origin and the length of its radius is 8. what is the circles equation

Answer 1

d. x^2 + y^2 = 64
D is 're correct answer

Answer 2

Answer:
`x^2 + y^2 = 64`

Explanation:

Since, the equation of a circle that having the center (h,k) and radius r is,

`(x-h)^2 + (y-k)^2 = r^2`

Here the circle is centered at the origin,

That is, h = 0 , k = 0

Also, the radius of the circle is 8,

That is, r = 8 unit,

Thus, the equation of the given circle,

`(x-0)^2 + (y-0)^2 = 8^2`

`x^2 + y^2 = 64`