Question

The circle is centered at the origin and the length of its radius is 4. what is

the circles equation

Answer 1

X²+Y²=16

Explanation:

A p e x

Answer 2

Answer:
`x^2+y^2=16`

Explanation:

The general equation of a circle having center at (h,k) and radius r is given by :-

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

Given: Radius of the circle : r= 4 units

The center of the circle : (h,k)=(0,0)

Now, the equation of a circle having center at (0,0) and radius 4 units is given by :-

`(x-0)^2+(y-0)^2=4^2\\\\\Rightarrow\ x^2+y^2=16`