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(Q7812)
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subclass of
equilateral pentagon
0 references
regular convex polygon
follows
square
followed by
regular hexagon
0 references
constructible polygon
0 references
dodecahedral pentagonal polytope
0 references
icosahedral pentagonal polytope
0 references
equidiagonal pentagon
0 references
has quality
perimeter
defining formula
P
=
5
a
{\displaystyle P=5a}
0 references
area of plane shape
defining formula
A
=
5
4
t
2
c
t
g
π
5
=
5
5
+
2
5
4
t
2
=
5
12
R
d
{\displaystyle A={\frac {5}{4}}t^{2}\mathop {\mathrm {ctg} } \,{\frac {\pi }{5}}={\frac {{\sqrt {5}}{\sqrt {5+2{\sqrt {5}}}}}{4}}t^{2}={\frac {5}{12}}Rd}
0 references
inradius
defining formula
r
=
t
2
tan
(
π
/
5
)
=
t
2
5
−
20
{\displaystyle r={\frac {t}{2\tan(\pi /5)}}={\frac {t}{2{\sqrt {5-{\sqrt {20}}}}}}}
0 references
circumradius
defining formula
R
=
a
2
csc
π
5
{\displaystyle R={\frac {a}{2}}\csc {\frac {\pi }{5}}}
0 references
Sitelinks
⧼wikibase-sitelinks-mywikigroup⧽
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