Thread: Help! Urgent Circle question

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

Hello, lemontea!

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 . . .