How to compute the area of cardioid r=2(1+cosx)

How to plot the area of this cardioid

[Dyuman Joshi]

Do you want to compute or do you want to plot? Both of these can be done on paper.

How is your question related to MATLAB?

Answer 1

[Shivam Lahoti]

Hey,

You need to define the range for which you need to calculate the area. You can integrate the function and then put limits to get the area. Refer to the following article to understand in more detail on how to calculate area under a curve.

https://in.mathworks.com/matlabcentral/answers/470842-how-to-calculate-the-area-under-a-curve

Answer 2

[Carlos Guerrero García]

I think that you only need a graph (to be included in the statement of an exercise, example,...)

I hope the following code will be useful:

theta=linspace(0,2*pi,100); % Vector for values of the polar angle theta
rho=2*(1+cos(theta)); % Vector for values for the polar radius
polar(theta,rho,'*r'); % Graphing the curve in polar axes
hold on; % For adding color for the region whose area must be determined
fill(rho.*cos(theta),rho.*sin(theta),'b','FaceAlpha',0.5) % I think the fill command only works for cartesian coordinates