Area between curves

  • Thread starter Sirsh
  • Start date
  • #1
267
10
Hello all.

This is not homework, i stumbled upon it looking for information for my physics.. I have some background in calculus and am just wondering if anyone would have any idea on how you'd solve this area problem.. all i have is a picture of it and not any equations of the lines.

Thanks.

429px-Green%27s-theorem-simple-region.svg.png
 

Answers and Replies

  • #2
berkeman
Mentor
60,874
11,255
Hello all.

This is not homework, i stumbled upon it looking for information for my physics.. I have some background in calculus and am just wondering if anyone would have any idea on how you'd solve this area problem.. all i have is a picture of it and not any equations of the lines.

Thanks.

429px-Green%27s-theorem-simple-region.svg.png

Sure. Print it, cut out the area, weigh the paper cutout (and weigh a full piece of paper with known dimensions). I still remember my undergrad Physics TA telling me about this technique...
 
  • #3
berkeman
Mentor
60,874
11,255
Oh, and what is the context of the question?
 
  • #4
267
10
Wow that's a very smart idea haha. Um, it was just finding out the way to calculate the area of the region D. Is there anyway mathmatically?

My thoughts are to take away the area of C1 from a-b from the area of C3 from a-b with integration.
 
  • #5
berkeman
Mentor
60,874
11,255
Wow that's a very smart idea haha. Um, it was just finding out the way to calculate the area of the region D. Is there anyway mathmatically?

My thoughts are to take away the area of C1 from a-b from the area of C3 from a-b with integration.

You said you had no equations. What do you plan to integrate?
 
  • #6
35,425
7,284
I notice that the curves that bound the region are marked with arrows. Is this some kind of a path integral? I seem to remember that the line integral along a closed path in a conservative field is zero.
 

Related Threads on Area between curves

  • Last Post
Replies
14
Views
4K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
Replies
2
Views
3K
Replies
4
Views
1K
Replies
2
Views
957
Replies
1
Views
3K
Replies
6
Views
963
  • Last Post
Replies
9
Views
11K
Top