Question

Can someone please help me create an equation for this circle?

Answer 1

`(x-1)^2 + (y-1)^2 = 10`

Explanation:

From the graph ,

Centre of the circle is (1, 1)

To find radius we find a point through which the circle passes and find the distance between the Centre and the point.

Let that point be (4, 0)

`radius = √((x_2 - x_1)^2 + (y_2-y_1)^2) = √((1-4)^2 + (1-0)^2) = √(10)`

Equation of the circle :

`(x - a)^2 + (y-b)^2 = r^2 \ , \ where \ (a,b)\ is\ the\ centre\ of\ the\ circle\ and\ r\ is\ the\ radius\\\\(x-1)^2 + (y-1)^2 = 10`