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 The perimeter & area of a circle/regular polygon in the real world

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Mr. Robinson
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Mr. Robinson


Posts : 232
Location : San Mateo

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PostSubject: The perimeter & area of a circle/regular polygon in the real world   The perimeter & area of a circle/regular polygon in the real world EmptyFri Mar 07, 2014 1:24 pm

Find any innocuous physical item, whether it's a stop sign, a floor tile, or a can of soda. Make sure the shape is regular (preferably not a square), and measure it to the best of your ability. A ruler or measuring tape is best, but if you don't have access to those, use a dollar bill. They are 6.14 inches in length, so you can approximate 6 inches if absolutely necessary.

I would like for you to calculate the area and perimeter of the two-dimensional flat surface you found (if it's a circle, you'll find its circumference), then post it here. Make sure your post includes the object that you used. If you can get a picture up, go ahead and upload it. Otherwise, Google Images would be fine. Then post your results of your perimeter and area. Make sure to indicate units of measurement.

Please do this by Friday, March 14th.
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Aaron C.

Aaron C.


Posts : 3
Location : Redwood City

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PostSubject: Re: The perimeter & area of a circle/regular polygon in the real world   The perimeter & area of a circle/regular polygon in the real world EmptyThu Mar 13, 2014 11:20 pm

The perimeter & area of a circle/regular polygon in the real world Yesh11

Alright, so I chose to try and do this star. It was really hard and I have yet to find the Area. I only found the area of the square that was outside of the star (Surrounding it). That area was 288 squared inches. I did find that the perimeter was 70 inches. Each side of the star (10 sides) was 7 inches. I found the area by measuring that the top to bottom of the star (Height) was 16 inches and the left to right of the star (width) was 18 inches.

Welp, that is all I got.
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Mr. Robinson
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Mr. Robinson


Posts : 232
Location : San Mateo

The perimeter & area of a circle/regular polygon in the real world Empty
PostSubject: Re: The perimeter & area of a circle/regular polygon in the real world   The perimeter & area of a circle/regular polygon in the real world EmptyThu Mar 13, 2014 11:23 pm

Dang man, you went all out haha!

Let me help you find area a different way:

Divide the star into five congruent isosceles triangles on the outside and a regular pentagon on the inside. Find the area of one of your triangles (the base is the same as your pentagon's side length, by the way), and then find the area of the regular pentagon (perimeter should be easy; apothem will be a bit smaller but you can do your best there), then add them together.

EDIT:

See what I mean here? Haha. Find the "base" of each triangle (the red), and you'll have to get that height that's perpendicular to it. Multiply that by five. Now you have a regular pentagon on the inside you have to consider as well. You already have the perimeter sort of, now just find the apothem as closely as possible. Then do A = (1/2)ap.

The perimeter & area of a circle/regular polygon in the real world Shwr
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PostSubject: Re: The perimeter & area of a circle/regular polygon in the real world   The perimeter & area of a circle/regular polygon in the real world Empty

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