In the concentric circles below which has the greater area - the yellow region or the blue region?
My hypothesis is that both sections have the same area. By eyeballing it, one might think the blue has more area, but I think that because the yellow is one the outside, it has more area to cover then the green and the same as the blue.
The first thing that I want to do is to find the area of the inner 3 rings of the circle.
The formula for the area of a circle is A=πr2.
r=radius (center of circle to outside edge.)
I know that it is 1” between each ring of the circle. Therefore, the radius of the entire blue circle is 3”.
Next, I find the area for the green circle. This will include the inner three rings.
Next, find the area of the entire circle.
To find the area of the yellow ring alone, I subtract the total area from the area of the inner 4 rings.
The yellow area and the blue areas have the same area.