Calculating the area of an irregular semi-circle

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I am very inexperienced when it comes to math and I'd like to calculate the area of an irregular semi circle. This shape is 200 ft wide and an average of 20 feet deep. (Like a wide trough shape). Any help with this will be greatly appreciated!

Example diagram

Many thanks!

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Maybe you are thinking about ellipses. They have a formula for the area.

This is an ellipse:

Ellipse

Note that it doesn't have a radius, but two "axis".

The area of a circle is $\pi\cdot r^2$, with $r$ the radius. The area of an ellipse if $\pi\cdot A\cdot B$, which is a nice generalization.

The drawing you made could be half an ellipse, so you have to divide the area by a factor of $2$.

Do you want to know why the formula is like that?