Centre and radius from diameter endpoints for JEE

Formula

\(\text{Centre}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right),\quad r=\dfrac12\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Variables: Diameter endpoints are \((x_1,y_1),(x_2,y_2)\).

Constructing circle from diameter data.