Question

How do you write an equation of a circle with center at (0,0), d=12?

Answer 1

The standard Cartesian form for the equation of a circle is:

`(x - h)^2 + (y - k)^2 = r^2" [1]"`

where (h,k) is the center and r is the radius.

Explanation:

Given: center`= (0,0) and d = 12`

Use the diameter to compute the radius:

`r = d/2`

`r = 12/2`

`r = 6`

Substitute the center and the radius into equation [1]:

`(x - 0)^2 + (y - 0)^2 = 6^2" [2]"`

Equation [2] is the answer.