For this problem, we are given the expression for a circle and we need to determine which graph represents it.
The expression for the circle is:
![x^2+y^2=49](https://img.qammunity.org/2023/formulas/mathematics/college/7tpmou9692bv39oqgkbncd3l4pmtjho25d.png)
We can rewrite it as:
![x^2+y^2=7^2](https://img.qammunity.org/2023/formulas/mathematics/college/p9zkbio6iklxyv2yv1azij9iddsw39c4uq.png)
This means that the radius is equal to 7. So we need to find the circle that has a center in the origin and a radius equal to 7. The correct option is the bottom right option.