Find the area of the astroid

Find area of an astroid

[Adam]

Aren't asteroids usually 3d?

Answer 1

[KSSV]

a = 4 ;
% parametric equations of Asteroid 
N = 1000; % keep more for accurate answer 
t = linspace(0,2*pi,N) ;
x = a*cos(t).^3 ;
y = a*sin(t).^3 ;
plot(x,y)
% Get area using the curve points 
A = polyarea(x,y) ;
% get area using the formula 
Af =  3 * pi * a^2 / 8;
[A Af]

Answer 2

[KSSV]

doc polyarea.

Answer 3

[Walter Roberson]

solve() for y in terms of x and a. Integrate from x = 0 to x = a

Answer 4

[Image Analyst]

Try this:

astroidArea = 3 * pi * a^2 / 8;

per Wikipedia

[Srikar Kalivarapu]

Can you give me a code for this

[Image Analyst]

That IS code. You just need to define a.

a=10; % Whatever you want.
astroidArea = 3 * pi * a^2 / 8;