How To Draw Circle In Matlab

Introduction to Matlab Plot Circle

MATLAB tin be used to perform operations involving geometric figures like circles, rectangles, squares etc. In this article, we volition focus on circles. We volition learn how to create various types of circles in MATLAB. We tin can create solid or plane circles in MATLAB, which we will learn equally we go ahead in the commodity. We will likewise acquire how to create a circle using the rectangle function.

How to Create a circle using Rectangle Function?

Allow us first learn syntax to draw a simple circumvolve in MATLAB:

1. Permit us first declare some points, here nosotros are taking 500 points. The below code will create these points.

• angles = linspace(0, two*pi, 500);

2. Permit u.s.a. now declare the radius and centre of the circle. The center volition be divers by x and y co-ordinates.

• radius = 20;
• CenterX = 50;
• CenterY = xl;

3. Finally, we will plot our circle.

• ten = radius * cos(angles) + CenterX;
• y = radius * sin(angles) + CenterY;

4. We will also write some code for our output to look visually meliorate. This is normal formatting and we can accommodate it equally per our requirement.

• plot(x, y, 'b-', 'LineWidth', 2);
• hold on;
• plot(CenterX, CenterY, 'k+', 'LineWidth', 3, 'MarkerSize', xiv);
• grid on;
• axis equal;
• xlabel('10', 'FontSize', 14);
• ylabel('Y', 'FontSize', fourteen);

5. This is how our input and output will look like in MATLAB console:

Code:

angles = linspace(0, 2*pi, 500);
radius = xx;
CenterX = 50;
CenterY = 40;
x = radius * cos(angles) + CenterX;
y = radius * sin(angles) + CenterY;
plot(ten, y, 'b-', 'LineWidth', 2);
hold on;
plot(CenterX, CenterY, 'thousand+', 'LineWidth', 3, 'MarkerSize', 14);
grid on;
axis equal;
xlabel('X', 'FontSize', fourteen);
ylabel('Y', 'FontSize', 14);

Output:

As we can see in the to a higher place output, the circle is created with a radius 20 and centre (50, 40) equally defined by us in the code.

How to Create a Solid 2d Circle in MATLAB?

Next, permit u.s.a. learn how to create a solid second circle in MATLAB:

ane. First, we volition be creating logical image of circle. For this, we will ascertain center, diameter and the image size. Let united states of america commencement create prototype.

• imageSizeOfX = 640;
• imageSizeOfY = 480;
• [colInImage rowsInImage] = meshgrid(1 : imageSizeOfX, one : imageSizeOfY);

2. Next, we will exist creating the circle within the image.

• centerOfX = 320;
• centerOfY = 240;
• radius = 80;
• Pixels = (rowsInImage – centerOfY).^2 …
• + (colInImage – centerOfX).^2 <= radius.^2;

iii. In the above line of code, Pixels is "logical" array and is 2D. Permit u.s.a. now brandish 'Pixels'.

• image(Pixels);
• colormap([0 0 0; 1 one 1]);
• title('Image of circle');

iv. This is how our input and output will look like in MATLAB console:

Code:

imageSizeOfX = 640;
imageSizeOfY = 480;
[colInImage rowsInImage] = meshgrid(ane : imageSizeOfX, ane : imageSizeOfY);
centerOfX = 320;
centerOfY = 240;
radius = lxxx;
Pixels = (rowsInImage - centerOfY).^2 ...
+ (colInImage - centerOfX).^2 <= radius.^2;
image(Pixels);
colormap([0 0 0; 1 ane one]);
championship('Image of circumvolve');

Output:

How to create a Circle in MATLAB Using Rectangle Function?

Permit us at present learn how to create a circumvolve in MATLAB using rectangle function: Hither is a simple code to achieve this:

i. Like we discussed in above examples, nosotros volition declare the radius and centre co-ordinates of the required circle.

• radius = 6;
• centerX = 30;
• centerY = twoscore;
• rectangle('Position',[centerX – radius, centerY – radius, radius*2, radius*two],…
• 'Curvature',[1,ane],…
• 'FaceColor','b');
• axis foursquare;

2. We take passed 'FaceColor' as "b" so our output circle will be of Blue colour.

Code:

radius = vi;
centerX = 30;
centerY = forty;
rectangle('Position',[centerX - radius, centerY - radius, radius*two, radius*two],...
'Curvature',[1,1],...
'FaceColor','b');
axis foursquare;

Output:

How we can Create a Simple arc in MATLAB?

Finally, let us discuss how we tin create a elementary arc in MATLAB. Equally nosotros know that arc is zip but a pocket-sized portion of the circle, code for creating an arc is also very similar to that of creating a circle.

1. Beginning we define the parameters of required arc.

• xCenter = 1;
• yCenter = one;
• radius = 4;

2. Next, we define the angle theta every bit required.

• theta = linspace(20, 100, l);
• x = radius * cosd(theta) + xCenter;
• y = radius * sind(theta) + yCenter;

3. Finally, we plot our defined points.

• plot(ten, y, 'b-', 'LineWidth', 2);
• axis equal;
• grid on;

Code:

xCenter = 1;
yCenter = 1;
radius = 4;
theta = linspace(20, 100, 50);
x = radius * cosd(theta) + xCenter;
y = radius * sind(theta) + yCenter;
plot(x, y, 'b-', 'LineWidth', ii);
centrality equal;
filigree on;

Output:

Conclusion

And then, in this article, nosotros learnt how to create circles in MATLAB. We can create both plane circles and solid circles in MATLAB. We as well learnt how nosotros tin leverage the Rectangle function to plot circles in MATLAB. Nosotros tin can also format our circumvolve as per our requirement.

Recommended Articles

This is a guide to Matlab Plot Circumvolve. Here we discuss an introduction, how to Create a circle using rectangle part, a Solid 2nd Circumvolve, a circle in MATLAB and Simple arc. Yous tin can likewise go through our other related manufactures to learn more –

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4. Consummate Guide to Optimset Matlab
5. Plot Vector Matlab | Functions
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