anonymous
  • anonymous
How would you find the area of this shape?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1359762044842:dw| Shape not drawn to scale.
anonymous
  • anonymous
It's a field that I got from google maps and I got the sides from the scaling but I'm trying to find the area. This is a rough estime so please help me out
anonymous
  • anonymous
Without getting to complicated, you could pretend it to be a triangle. 1000*750/2 ft

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anonymous
  • anonymous
I want to get a much closer area....I did find out that the angle is around 100 degrees if that helps
anonymous
  • anonymous
|dw:1359763267062:dw| found the area of the inside now
anonymous
  • anonymous
pi * 750 * 1000 is a quite good approx i think? Can someone verify?
anonymous
  • anonymous
You know, if it were me, the way I'd do it is to realize that the1500 ft area looks almost like an arc. I'd subtract 125 from 1000 ( same as adding 125 to 750) and take that as the radius and go with the area of the sector of a circle with radius of 875.
anonymous
  • anonymous
What do you think about the area of the eclipse times (100/360)?
anonymous
  • anonymous
@SmartWish I think using an ellipse like you suggested would be even better than a circle sector except that the angle is not 90 degrees so that approximation starts going into the direction of exact calculations almost. Either is good.
anonymous
  • anonymous
If you want to use an ellipse to approximate the shape and if you want to have fun with numbers, you could integrate the area between the ellipse and the equation of a line. That would give a really accurate result.
anonymous
  • anonymous
I like your suggestions!
anonymous
  • anonymous
Math is fun!
anonymous
  • anonymous
It would be easy to get the equation of a line running at that 100 degrees and maybe rotate the figure.
anonymous
  • anonymous
Good luck in all of your studies and thx for the recognition! Hope that we were of help, @RyanL.

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