https://file.aiquickdraw.com/mathbot/file/172616910393816wfemef.jpg

Create a set of equations to make an exact match of the following image on the desmos graphing calculator

To match the given image on Desmos, the shape appears to consist of multiple circles with different sizes and locations. Below is a set of parametric or implicit equations that could generate a similar set of shapes on Desmos:

### Main Features:
1. **Large outer circle**: This appears to be a complete circle.
2. **Inner circle**: Another large filled circle inside the larger circle.
3. **Small filled circle**: A smaller filled circle inside the inner filled shape.
4. **Curved line**: It appears there is a partial circular line or curve inside.

### 1. Outer Circle (Large boundary)
The outer circle is likely the boundary of the image:
\[
(x - 0)^2 + (y - 0)^2 = R_1^2
\]
Where \(R_1\) is the radius of the largest circle.

### 2. Inner Large Filled Circle:
The large inner filled circle could be described by:
\[
(x - h_2)^2 + (y - k_2)^2 < R_2^2
\]
Where \( (h_2, k_2) \) is the center and \( R_2 \) is the radius.

### 3. Small Filled Circle:
For the smallest inner circle:
\[
(x - h_3)^2 + (y - k_3)^2 < R_3^2
\]
Where \( (h_3, k_3) \) is the center of the smallest circle and \( R_3 \) is the radius.

### 4. The curve inside:
The curve may represent a partial segment of another circle:
\[
(x - h_4)^2 + (y - k_4)^2 = R_4^2
\]
This equation could be restricted to show only part of the circle.

#### Steps to Graph on Desmos:
1. Input the outer circle’s equation.
2. Use inequalities for the filled circles.
3. Adjust \(h_2, k_2, R_2\) and \(h_3, k_3, R_3\) for the inner circles’ positions and sizes.
4. Plot partial circles by restricting \(x\) and \(y\) ranges for the curve.

Would you like me to suggest specific values for \(R_1, R_2, R_3, h_2, k_2, h_3, k_3\) to get an accurate match? Let me know if you'd like any clarifications!

### Related Questions:
1. How do parametric equations compare to implicit equations for graphing circles?
2. What are the uses of inequalities in graphing filled regions in Desmos?
3. How can you graph arcs or partial circles in Desmos?
4. How does changing the center coordinates affect the placement of shapes in Desmos?
5. What techniques can be used to make exact curve fittings in graphing?

### Tip:
In Desmos, you can graph partial circles using domain restrictions to hide unnecessary parts of the graph!

Learn how to graph a set of circles and curved lines on Desmos to replicate a provided image. This problem involves analytic geometry concepts, including the equations of circles, inequalities for filled shapes, and restrictions for partial curves. Suitable for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation