Determine the most efficient shape (defined by the shape with largest ratio of area to its perimeter) for a large fenced in garden.

Create a vector containing the ratios of the area of a circle to the perimeter for circle for radius r values ranging from 50 to 100 by 2s. Do the same thing for the ratios of the area and perimeter of a square with side length r values ranging from 50 to 100 by 2s. Do the same thing for the ratios of the area and perimeter of an equilateral triangle with side length r values ranging from 50 to 100 by 2s. Finally, plot the three vectors of ratios on the same graph, x-axis is the r vector, y-axis is the ratio of area to perimeter vector. Use different colors or symbols for each plot, label the axes, and add a legend. Which shape is most efficient for which values of r?

Answer 1

[KSSV]

It is an Home Work problem....you have to learn matlab and do it on your own. I am showing it for ciecl, you can proceed like this for other cases.

% for circle 
r = 50:100;     % create radii 

A = pi*r.^2 ;   % Area of circle 
C = 2*pi*r ;    % perimeter of circle 
R = A./C ;      % ratio

YOu can use plot to plot the data you want.