How to combine two geometries into one plot in Python - python-3.x

Question

Question background: I am trying to make two geometries in a one plot in python. I have made one geometry which is an object having mesh as shown in figure below. The respective code is also mentioned here.
df_1_new = pd.DataFrame()
df_1_new['X_coordinate']=pd.Series(x_new)
df_1_new['Y_coordinate']=pd.Series(y_new)
df_1_new['node_number'] = df_1_new.index
df_1_new = df_1_new[['node_number','X_coordinate','Y_coordinate']]
plt.scatter(x_new, y_new)
plt.show
The second geometry, which is a circle and I made this geometry running below code.
from matplotlib import pyplot as plt, patches
plt.rcParams["figure.figsize"] = [9.00, 6.50]
plt.rcParams["figure.autolayout"] = True
fig = plt.figure()
ax = fig.add_subplot()
circle1 = plt.Circle((2, 2), radius=5, fill = False)
ax.add_patch(circle1)
ax.axis('equal')
plt.show()
My question: How can I combine both geometries mentioned above in a one plot. I would like to place my circle around my geometry (object). Geometry has a centroid (2, 2) and I want to place my circle's centroid exactly on the centroid of geometry therefore I will be having a circle around my geometry. What code I should write. Kindly help me on this.
For your reference: I want my plot just like in below picture.

Answer 1

you need to do all the plotting between the subplot creation and before you issue the plt.show() command, as any command after it will create a new figure.
from matplotlib import pyplot as plt, patches
plt.rcParams["figure.figsize"] = [9.00, 6.50]
plt.rcParams["figure.autolayout"] = True
fig = plt.figure()
ax = fig.add_subplot()
# other plt.scatter or plt.plot here
plt.scatter([3,4,5,6,4],[5,4,2,3,2]) # example
circle1 = plt.Circle((2, 2), radius=5, fill = False)
ax.add_patch(circle1)
ax.axis('equal')
plt.show()
image example
to get the points inside the circle, you need to play with the circle radius and center till you get it right.
something you can do is to make the circle at the np.median of your x and y values, so you are sure about the center position.