Question

Write the equation of a circle with a center at (11,-1) and a radius of √5

Answer 1

`(x-11)^2 + (y+1)^2 = 5`

Explanation:

Center of the circle = (11, -1)

therefore, h = 11, k = -1

Radius (r) =√5

Equation of circle in center radius form is given as:

`(x-h)^2 + (y-k)^2 = r^2\\(x- 11)^2+ \{y-(-1)\}^2 = (√(5) )^2\\\huge\red{\boxed{(x-11)^2 + (y+1)^2 = 5}}\\this\: is \:the \:required\: equation\: of\: the\: circle.`