The center of the circle is (0, 2) and the radius is √3
The equation of a circle is;
![r^2=(x-h)^2+(y-k)^2](https://img.qammunity.org/2023/formulas/mathematics/college/1gozcm76zlseep9mt57vpi5xigox49g71h.png)
In this case, we have:
![3=x^2+(y-2)^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/me38m7nqwnrr862sfzj91b24awc56cwqv3.png)
Then:
![r^2=3\Rightarrow r=\sqrt[]{3}^{}](https://img.qammunity.org/2023/formulas/mathematics/high-school/s6xh35032v90pu63rqeekd96a0vdveflpq.png)
r is the radius, then we know that already.
Now the center is (h, k) from the equation of a circle, above
In this case, the number that is resti