# How to find an area below the curve follwed by x and y axis having two different parameters?

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SHRINIDHI on 6 Feb 2024
I have attached the document having curve. x-axis is size of the particle in mm and y axis is in percentage passing.
Please help me in finding the area below the curve with x axis limit 0.425 to 53 mm and axis limit from 0 to 100%.
Mathieu NOE on 6 Feb 2024
as you have the data, getting the area is fairly simple using for example trapz
but I wonder what this area will represent as your current data y is a percentage and x is mm
so you want an area which unit is this product % x mm ??
SHRINIDHI on 10 Feb 2024
I require area in % sir

Sulaymon Eshkabilov on 10 Feb 2024
That would be something like this:
DATA = [53 100;
26.5 88.5;
9.5 64.95;
4.75 46.85;
2.36 25.34;
0.85 23.14;
0.425 0;];
DATA = flipud(DATA);
X = DATA(:,1);
Y = DATA(:,2);
plot(X, Y, 'ro-', 'MarkerFaceColor', 'c')
xlabel('Particale Size')
ylabel('% Passing')
grid on
AREA = trapz(X, Y);
text(10, 50, ["Area = " num2str(AREA)], 'BackgroundColor', 'y')