MHB Graph |z| > 3 on the Complex Plane: A Detailed Explanation

  • Thread starter Thread starter Raerin
  • Start date Start date
  • Tags Tags
    Graph
Click For Summary
To graph |z| > 3 on the complex plane, start by drawing a circle with a radius of 3 centered at the origin. The area of interest is the region outside this circle, indicating all points where the distance from the origin exceeds 3. This visual representation effectively illustrates the concept of the inequality. Shading the area outside the circle helps convey the idea clearly. The discussion emphasizes the importance of visualizing complex inequalities for better understanding.
Raerin
Messages
46
Reaction score
0
I have no idea where to post this.

How to graph |z| > 3 on the complex plane? A detailed explanation of how the graph shall look like would be very nice :D

Thanks!
 
Mathematics news on Phys.org
Hello,
|z| means length of z from origin, so the length of the circle is greater Then 3
Regards,
$$|\pi\rangle$$
 
I understand that, but I have no idea how the graph should look like. I don't know how to draw it to illustrate that the radius is greater than 3.
 
Raerin said:
I understand that, but I have no idea how the graph should look like. I don't know how to draw it to illustrate that the radius is greater than 3.
I think the simplest way to graph this is to draw the circle |z| = 3, then shade the outside of the circle. It's not perfect, but it gets the idea across.

-Dan
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
2K
Replies
7
Views
2K