Class 11

Math

3D Geometry

Conic Sections

Find the equation of the circle with centre $(0,2)$ and radius $2$

$(x−h)_{2}+(y−k)_{2}=r_{2}$

Here it is given that centre $(h,k)=(0,2)$ and radius $r=2$

Therefore the equation of required circle is,

$(x−0)_{2}+(y−2)_{2}=2_{2}$

$⇒x_{2} +y_{2}+4−4y=4$

$⇒x_{2} +y_{2}−4y=0$