Question

find the equation of a circle

radius is 2 and through (1,2) and (3,4)

Answer 1

hint \[\sqrt{(3-1)^2 + (4-2)^2} = 2r\]

Answer 2

Equation of Circle is given by:

\[\large (x-h)^2 + (y-k)^2 = r^2\]

Answer 3

i started by equating 2 to the distance formula of (1,2) and (3,4) ---2 equations

but then i'm now stuck because i got h+k=5

Answer 4

let the center by (Cx, Cy)