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TheLostOne
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Area inside of an area inside of an area 28 Sep 2014, 21:50
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Hello!

I was playing with the following question:

If the area of the outer square is 4x^2, then the area of the inner square is?

What I did was assume x = 2, so that would make the big square have an area of 16 (4x4).

Since the circle is touching, the diameter must be 4 as well, or a radius of 2. Since the Square is inside the circle, I figured it could be bisected to create two triangles of 45-45-90. The hypotenuse would have to be the radius, which is 2. But since it is a 45-45-90 triangle, I decided that...

2 = x√2 and x is then equal to (2√2)/2.

I multiplied that by itself and divided by 2 to get the area of one triangle. You can multiply that again and get another area to complete the square.

Make a long story short, none of the answers lined up with my whacky math. Does anyone have any insight to my issue?

Thanks

I figured
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mikemcgarry
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Area inside of an area inside of an area 01 Oct 2014, 11:40
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TheLostOne
Hello!

I was playing with the following question:

If the area of the outer square is 4x^2, then the area of the inner square is?

What I did was assume x = 2, so that would make the big square have an area of 16 (4x4).

Since the circle is touching, the diameter must be 4 as well, or a radius of 2. Since the Square is inside the circle, I figured it could be bisected to create two triangles of 45-45-90. The hypotenuse would have to be the radius, which is 2. But since it is a 45-45-90 triangle, I decided that...

2 = x√2 and x is then equal to (2√2)/2.

I multiplied that by itself and divided by 2 to get the area of one triangle. You can multiply that again and get another area to complete the square.

Make a long story short, none of the answers lined up with my whacky math. Does anyone have any insight to my issue?

Thanks

I figured
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Dear TheLostOne,
My friend, this entire post is 100% useless without the diagram. I have absolutely no idea what geometric designs you have in mind. Where's the big square? where's the small square? where's the circle? Please do not post a question requiring a diagram and omit the diagram: that generates confusion and helps no one.
You could either upload your own version of the diagram, or link to a post that already contains the question.
Does all this make sense?
Mike :-)