Question

Write the equation of the circle graphed below.Write standard equation of a circle

Answer 1

Step-by-step explanation

The equation of a circle with center (h,k) and radius r is the following:

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

In this case, the center is at (5,0) and the radius is diameter/2=8/2=4

Therefore, the equation is as follows:

`(x-5)^2+(y-0)^2=4^2`

Computing the power:

`(x-5)^2+y^2=16\text{ \lbrack EQUATION OF THE CIRCLE\rbrack}`

The solution is:

(x-5)^2 + (y-0)^2 = 16

The graph is the following: