Question

Determine the equation of the circle with radius 4 and center (2,0).

Answer 1

Given:

Canter of the circle, (h,k) =(2,0).

The radius of the circle, r =4.

Required:

We need to find the equation of the circle.

Step-by-step explanation:

Consider the equation of the circle.

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

Substitue h =2, k=0, and r =4 in the equation.

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

`(x-2)^2+y^2=16`

Final answer:

`(x-2)^2+y^2=16`