Calculate Area of an Oval - Tips & Ideas

[ladil123]

area of an "oval"

Hello

I want to calculate the area under the length "L" of this shape.
W, h and b are known.

I am using the formula for a ellipse, pi*h*L/4 but it is not so good when h gets bigger for instance or when b gets smaller.
When h is small, the calculated area with the elipse equation gets to big, and when h gets larger the calculated area get smaller than it really is..


Any ideas or tips ?

 

[mathman]

Calculate the rectangular and curved parts separately. The rectangular part's area is Lh. The shape of the curved parts has to be described in better detail.

 

[KnowPhysics]

you can try with the way mathman said. find out rectangle area by Lh, ellipse area (Pi*(h/2)*b) add both.

 

[Miney]

There will still be the left over part between where B ends and the rectangle starts.

Tough question. I am interested to hear a solution!

 

[mathman]

There will still be the left over part between where B ends and the rectangle starts.

Tough question. I am interested to hear a solution!

You need to be precise as to shape of the boundary! I cannot tell from the picture the exact shape of the part outside the rectangle.

 

[KnowPhysics]

even i don't understand the picture. i gave formula just assuming that b starts from the L that is L+2b = W.