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l = 4π
Psz = ?
l = 2π r
2π4 = 4π /:2π
r = 2
P = 1,5*a²√3
a√3/2 = r
a√3 = 2r
a = 2r√3/3
a = 4√3/3
P = 1,5*(16/3)√3
P = 8√3
Odp: Pole sześciokąta foremnego wynosi 8√3.
4π
Szukane:
a = ?
P = ?
r = a√3/2
2 = a√3/2
a = 4/√3
P = 6 • a²√3/4
P = 6 • (4/√3 )²√3/4
P = 6 • 16/3 • √3/4
P = 8√3
Odp: Pole tego sześciokąta wynosi 8√3.