The perimeter of a circle
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The ratio of all lengths is the same. The ratio of the circumferences = ratio of the radii = 2:3
area = 2pi*r2circumference = 2pi*rThe ratio of their circumferences will be 2pi*r1 /2pi*r2 = r1/r21) r2 = 6pi/2pi = 3. r1 = root(3).2) r = 150pi/2pi = 75. r2 = root(75)So the ratio of their circumferences isr1/r2 = root(3)/root(75)
Ratio of circumference is π : 4π = 1 : 4 This is the ratio of all lengths, therefore their radii are in the ratio of 1:4 also. Ratio of areas is the square of the ratio of length → ratio of their areas is 1² : 4² = 1 : 16
A diagon, is an example of a two sided shape, which is basically a secton of a sphere emcompassed by two circumferences disecting. or a plane (e.g a sheet of paper) or a strip (a simple ring shape)
You can find regulations about clothing sizes in the EN 13402 standard, and a series of physical measurements in the SIRI-dataset. Reading the standard, I see that t-shirt sizes (men), for example, are mainly based on chest circumferences. Size 'M' is suitable for chest circumferences between 94 and 102 cm. Size S is 8 cm smaller, size L is 8 cm bigger, XL is 16 cm bigger and XS is 16 cm smaller than size M. When I calculate the median and standard deviation of all the chest circumferences (adult males) I find in the SIRI-dataset, I find a median of 99.6 cm, and - surprise - a standard deviation of 8.4 cm. So, I tend to believe that clothing sizes follow, in some way, the normal distribution. Size M refers to the median size, and the intervals between the size codes have about the same value as the standard deviation. So, size S is one standard deviation smaller than size M, and XL is two standard deviations bigger than size M. If haven't checked other types of clothes and other physical sizes, so I cannot guarantee that my conclusion is correct for any type of garment.