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## PowerPoint Slideshow about 'Estimating Areas' - eadoin

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### Estimating Areas

The art of Math

Exact Answers? Not Exactly…

- You can’t always get an exact answer
- But sometimes you still need to get very close to the right answer
- So how do you get close enough?

The Shape:

- There is no formula for this shape
- You’ll need a method to estimate the area
- There is more than one way to do it
- Some ways will work better than others

Two Methods to Estimate Area:

- Break the complicated shape down into simple shape you can easily find the area of, sum up those areas
- Create a uniform grid and count out the number of squares contained in your shape

Continue To Break The Shape Down

- At this point you can easily measure the majority of the area in this shape
- Is this a good enough estimate?

That depends, what is this for?

- The red is the area we have missed
- Is this a significant amount for our application?
- That will decide if our estimate is good enough

Let’s Get More Accurate

- Here is some of our “extra” space
- We can continue to break that shape down just as before.
- If you need you can keep going and going…

Over vs. Underestimates:

- Depending on the job, you may prefer and overestimate.
- Sometimes you can use overestimates to make up for areas you haven’t included in your estimate.

We can quickly estimate the area with a Triangle, one is an overestimate, the other is an underestimate.

- Can we be more accurate with just one Triangle? How?

Notice we are counting some area not in the shape, but leaving some out as well, I think we are getting pretty close

Second Method: Grid it Up

- What should we do now?

Count…

- What about the extra area?

Count it too…

- Lets take a closer look…

It’s a Balancing Act

- Count it all!
- Over or Underestimate if you need to
- A little of both may be even more accurate in the end…

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