What is the area of the region of the complex plane defined by |z - 3i| < 8?
+506 |z|<8 represents a circle with a radius of 8 centered at (0, 0), and the −3i simply shifts that circle upwards by 3 units. Therefore, the area is just the area of a circle with a radius of 8 and should be easily solvable by using the formula A=πr2, where A is the area of a circle and r is that circle's radius.
Can you finish it from there?
