Black square is probably very dark gray, because you may have np.array with uint8 datatype, which has range of 0-255, not 0-1 like binary array. Try changing array datatype to bool, or scale values to 0-255 range.
Here is code snippet in which binary array is generated and displayed. If you scale by smaller value, circle will become slightly darker.
from PIL import Image
import numpy as np
# Generating binary array which represents circle
radius = 0.9
size = 100
x,y = np.meshgrid(np.linspace(-1,1,size),np.linspace(-1,1,size))
f = np.vectorize(lambda x,y: ( 1.0 if x*x + y*y < radius*radius else 0.0))
array = f(x,y)
# Solution 1:
# convert np.array to bool datatype
array = (array).astype(np.bool)
# Solution 2:
# scale values to uint8 maximum 255
array = ((array) * 255).astype(np.uint8)
img = Image.fromarray(array)
display(img)
Result: White circle