Question

How do you write an equation for a circle with center of (4,0) and has a radius of 2?

Answer 1

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

Explanation:

The standard form of the equation of a circle is

`color(red)(|bar(ul(color(white)(a/a)color(black)((x - a)^2 + (y - b)^2 = r^2)color(white)(a/a)|)))`

where (a , b) are the coords of centre and r , the radius

here (a , b) = (4 , 0) and r = 2 , and substituting these values into the equation.

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