Mastering Circular Geometry: A Step-by-Step Guide to Creating Circles on Desmos

How to Make a Circle in Desmos


Hello! Are you interested in learning how to create a circle in Desmos? Look no further! In this article, we will guide you through the process of making a circle using this powerful graphing calculator. Whether you’re a student, a teacher, or just someone who loves math, Desmos can be a valuable tool to enhance your understanding of geometric concepts. So, let’s dive in and explore the steps to create a circle in Desmos.

Understanding Desmos

Desmos is a free online graphing calculator that allows users to plot various mathematical functions and visualize data. It provides a user-friendly interface, making it accessible to both beginners and experts. With Desmos, you can create graphs, manipulate equations, and explore mathematical concepts in an interactive way. By learning how to make a circle in Desmos, you’ll not only improve your graphing skills but also enhance your overall mathematical understanding.

Step-by-Step Guide

Creating a circle in Desmos is a simple process that involves a few key steps. Follow along with the instructions below to master this technique:

Step 1: Access Desmos

To begin, open your preferred web browser and navigate to the Desmos website. If you don’t already have an account, you can create one for free. Once you’re logged in, you’ll have access to a wide range of graphing and visualization tools.

Step 2: Open the Graphing Calculator

After logging in, locate the graphing calculator tool on the Desmos website. Click on it to open the calculator interface, where you’ll be able to plot equations and create graphs.

Step 3: Define the Circle Equation

In Desmos, a circle can be defined using its center coordinates and radius. The general equation of a circle is (x – h)^2 + (y – k)^2 = r^2, where (h, k) represents the center coordinates and r is the radius. Determine the values for these parameters based on the desired circle’s characteristics.

Step 4: Plot the Circle

With the circle equation in mind, enter it into the calculator’s input bar. Make sure to replace h, k, and r with the appropriate values. Desmos will automatically plot the circle on the graph, centered at the specified coordinates with the given radius.

Step 5: Customize the Circle

Desmos offers various customization options to enhance the appearance of your circle. You can change the color, size, and style of the circle to suit your preferences. Experiment with different settings to create visually appealing representations.

Step 6: Explore Additional Features

Desmos provides a plethora of features that can complement your circle visualization. You can add labels, axes, grids, and even other mathematical functions to further enhance your graph. Take some time to explore these features and experiment with different combinations to create unique and informative visuals.

Step 7: Save and Share Your Work

Once you’re satisfied with your circle graph, don’t forget to save your work. Desmos allows you to save your graphs and share them with others. You can also export your creations as images or embed them in other documents or websites.

Strengths and Weaknesses of Making a Circle in Desmos


1. User-Friendly Interface: Desmos offers a simple and intuitive interface, making it easy for users to create circles and explore mathematical concepts.
2. Interactive Visualization: The ability to dynamically manipulate equations and visualize changes in real-time allows for a deeper understanding of mathematical principles.
3. Customization Options: Desmos provides a wide range of customization options, allowing users to personalize their circle graphs and make them visually appealing.
4. Accessibility: Desmos is an online tool, making it accessible from any device with internet access. Users can create and access their circle graphs from anywhere, anytime.
5. Collaboration and Sharing: Desmos enables users to collaborate with others by sharing their circle graphs. This fosters a collaborative learning environment and facilitates knowledge exchange.
6. Integration with Classroom Instruction: Desmos offers features specifically designed for teachers, making it a valuable tool for incorporating circle graphs into classroom lessons.
7. Constant Updates and Improvements: Desmos continuously updates its platform, adding new features and improving existing ones, ensuring users have access to cutting-edge tools and functionality.


1. Limited Offline Functionality: As an online tool, Desmos requires internet access to operate. This may restrict usage in environments with limited or no internet connectivity.
2. Learning Curve: While Desmos is user-friendly, there may still be a learning curve for individuals unfamiliar with graphing calculators or mathematical concepts.
3. Platform Dependence: Desmos primarily operates on web browsers, limiting its accessibility on certain devices or operating systems that do not support web-based applications.
4. Advanced Functionality Limitations: While Desmos offers a wide range of features, it may not have the same advanced functionality as dedicated graphing calculators or software.

Table: Summary of Circle Creation in Desmos

Step 1Access Desmos
Step 2Open the Graphing Calculator
Step 3Define the Circle Equation
Step 4Plot the Circle
Step 5Customize the Circle
Step 6Explore Additional Features
Step 7Save and Share Your Work

Frequently Asked Questions (FAQs)

1. Can I create multiple circles in Desmos?

Yes, you can create multiple circles in Desmos by repeating the steps outlined in this article for each circle you want to plot.

2. Is Desmos compatible with mobile devices?

Yes, Desmos is compatible with most mobile devices. It has a responsive design that adapts to different screen sizes, allowing you to create circle graphs on your smartphone or tablet.

3. Can I animate the circle in Desmos?

Desmos offers animation features that allow you to dynamically change the parameters of your circle equation. This can create animated effects, such as a growing or shrinking circle.

4. How can I export my circle graph from Desmos?

To export your circle graph from Desmos, click on the “Export Image” option within the tool. You can choose to save the graph as an image file on your device.

5. Can I use Desmos offline?

Desmos primarily operates online and requires internet access. However, you can use the offline mode in Desmos for limited functionality when an internet connection is unavailable.

6. Does Desmos support other shapes besides circles?

Yes, Desmos supports various shapes, such as ellipses, parabolas, and hyperbolas. You can explore these shapes by modifying the equation parameters accordingly.

7. Can I use Desmos for advanced mathematical calculations?

While Desmos is primarily a graphing calculator, it offers advanced mathematical functions and features. However, for complex calculations, dedicated mathematical software or calculators may be more suitable.


In conclusion, learning how to make a circle in Desmos can be a valuable skill for anyone interested in graphing and visualizing mathematical concepts. Desmos provides a user-friendly platform with various customization options, making it easy to create visually appealing circle graphs. While it has strengths such as accessibility, collaboration features, and constant updates, it also has limitations like platform dependence and advanced functionality constraints. Nevertheless, Desmos remains a powerful tool for creating circles and exploring other mathematical functions. So, give it a try, unleash your creativity, and start creating captivating circle graphs with Desmos today!

Closing Words

With the ability to create circles and explore mathematical concepts, Desmos opens up a world of possibilities for students, teachers, and math enthusiasts. It empowers users to visualize abstract ideas and deepen their understanding of geometry. So, don’t hesitate to dive into Desmos and start experimenting with circles and other mathematical functions. The more you explore, the more you’ll discover the beauty and power of this incredible graphing calculator. Happy graphing!

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