Find the equations of each of the circles in the figure (blue black and red) and calculate the shaded area.
Thank you for your help
This is straight-forward.
Exactly where is your difficulty?
The blue circle has center (0,0) and radius 4: .
The red circle has center (0,2) and radius 2: .
The black circle has center (0,-2) and radius 2: .
The shaded region is the area of the blue circle
. . minus the areas of the red and black circles.
Surely you know how to find the area of a circle . . .