 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says, find the equation of the circle with center 0,2 and radius 2. So let us start with the solution to this question. First of all we see that equation of the circle with center at a point say hk and radius r is given by x minus h the whole square plus y minus k the whole square is equal to r square. Now it is given to us that center is 0,2 that means hk is 0,2 and radius r is equal to 2. So applying this formula here using hk and r as 0,2 and 2 respectively we have equation for circle is given by x minus 0 the whole square plus y minus 2 the whole square is equal to 2 square. This implies x square plus y square plus 4 minus 4 y is equal to 4. Here we have applied the formula a minus b the whole square is equal to a square plus b square minus 2 a b. This further implies that plus 4 gets cancelled with plus 4 and we are left with x square plus y square minus 4 y is equal to 0. So the question is that the required equation of the circle with center 0,2 and radius 2 is x square plus y square minus 4 y equal to 0. So this is our answer to the question. I hope that you understood the question and enjoyed the session. Have a good day.