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Diameter of 3.4 meters football model for 5 and 6 side polygon-shaped side length is the number of

litonghua882010-02-01 13:01:16 +0000 #1

bmw740i2010-02-01 13:04:07 +0000 #2
First of all, football is pentagonal and hexagonal phase, whose side length is the same.

Second, we must know the diameter of the surface area of 3.4M ball = 4πR ^ 2 (R-sphere radius, π - 3.14)

calculated: 36.2984 ≈ 36.3

Third, we must know the black pentagons and white football the number of hexagons in a math problem first form learned there are 12 black pentagons and white hexagons and 20 blocks, a total of 32.

Fourth, the calculation is the area of pentagons and hexagons are: Let side length x, then

is a pentagonal area = 1.72 × x ^ 2

regular hexagon area = 1.5 × 1.732 × x ^ 2 = 2.598 × x ^ 2 (square root of 3 = 1.732)

V, column equation to solve: The total area = Black + white area is an area of

36.3 = 12 × (1.72 × x ^ 2) +20 × (2.598 × x ^ 2 )

= 20.64 × x ^ 2 +51.96 × x ^ 2

= 72.6 × x ^ 2

that is, x ^ 2 = 1 / 2 ∴ x = 0.707

2 per square root of 2 is a pity that the root here, No. 2 does not play!

So the answer is yes side length of 0.707 meters (two per square root of 2 meters)

Big Brother you are a big football ah --

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