I have a MATLAB code as follows:

```
MinVal = -1;
MaxVal = 1;
MaxRadius = 0.5;
nCircles = 5;
Dimension = 2;
Circles = zeros(nCircles, Dimension);
Radius = zeros(nCircles, 1);
for i = 1 : nCircles
Circles(i,:) = unifrnd(MinVal, MaxVal, [1, Dimension]);
Radius(i) = unifrnd(0, MaxRadius, 1);
end
t = 0 : .1 : 2 * pi;
figure;
hold on;
for i = 1 : nCircles
x = Radius(i) * cos(t) + Circles(i,1);
y = Radius(i) * sin(t) + Circles(i,2);
plot(x,y);
end
axis square;
grid on;
```

The output is a some circle as:

Now, I want to colorize these circles with different colors. I could not solve this matter. I appreciate any contribution to my simple code.

Answer:

`rectangle`

, solid colors. Some circles may be coveredThe simplest (although not very intuitive) way to plot circles is to use the `rectangle`

function with the `'curvature'`

property set to `[1 1]`

. To have the circles filled, specify the color via the `'facecolor'`

property. The color of the circle border is controlled by the `'edgecolor'`

property.

Since circles are colored, you may have some of them partly or fully covered by other circles.

Modified lines in the code are marked with comments.

```
MinVal = -1;
MaxVal = 1;
MaxRadius = 0.5;
nCircles = 5;
Dimension = 2;
Circles = zeros(nCircles, Dimension);
Radius = zeros(nCircles, 1);
cmap = hsv(nCircles); %// define colors. You could change `hsv` to `jet`, `cool`, ...
for i = 1 : nCircles
Circles(i,:) = unifrnd(MinVal, MaxVal, [1, Dimension]);
Radius(i) = unifrnd(0, MaxRadius, 1);
end
figure;
hold on;
for i = 1 : nCircles
rectangle('Curvature', [1 1], ...
'Position', [Circles(i,:)-Radius(i) repmat(2*Radius(i),1,2)], ...
'facecolor', cmap(i,:), 'edgecolor', 'none') %// plot filled circle
end
axis equal; %// same aspect ratio in both axes
grid on;
```

`patch`

, transparent colors. Covered circles are visibleTo make circles visible even if they have been covered you can use colors with transparency (alpha). `rectangle`

does not support transparency, so you have to resort to the `patch`

function. The code is basically like yours, replacing `plot`

by `patch`

and specifying color and transparency as by the appropriate properties.

```
MinVal = -1;
MaxVal = 1;
MaxRadius = 0.5;
nCircles = 5;
Dimension = 2;
Circles = zeros(nCircles, Dimension);
Radius = zeros(nCircles, 1);
cmap = hsv(nCircles); %// define colors. You could change `hsv` to `jet`, `cool`, ...
alpha = .5; %// define level of transparency
for i = 1 : nCircles
Circles(i,:) = unifrnd(MinVal, MaxVal, [1, Dimension]);
Radius(i) = unifrnd(0, MaxRadius, 1);
end
t = 0 : .1 : 2 * pi;
figure;
hold on;
for i = 1 : nCircles
x = Radius(i) * cos(t) + Circles(i,1);
y = Radius(i) * sin(t) + Circles(i,2);
patch(x, y, 'none', 'facecolor', cmap(i,:), 'facealpha', alpha, ...
'edgecolor', 'none'); %// plot filled circle with transparency
end
axis equal; %// same aspect ratio in both axes
grid on;
```

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