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created at May 1, 2021
Circle
Area:
A
=
π
⋅
d
2
4
A=\frac{\pi \cdot d^{2}}{4}
A
=
4
π
⋅
d
2
Perimeter:
L
=
π
⋅
d
L=\pi \cdot d
L
=
π
⋅
d
Moments of inertia:
I
x
=
I
y
=
π
⋅
d
4
6
4
;
I
ρ
=
π
⋅
d
4
3
2
;
I_{x}=I_{y}=\frac{\pi \cdot d^{4}}{64};\quad I_{\rho}=\frac{\pi \cdot d^{4}}{32};
I
x
=
I
y
=
6
4
π
⋅
d
4
;
I
ρ
=
3
2
π
⋅
d
4
;
Moments of resistance:
W
x
=
W
y
=
π
⋅
d
3
3
2
;
W
ρ
=
π
⋅
d
3
1
6
;
W_{x}=W_{y}=\frac{\pi \cdot d^{3}}{32};\quad W_{\rho}=\frac{\pi \cdot d^{3}}{16};
W
x
=
W
y
=
3
2
π
⋅
d
3
;
W
ρ
=
1
6
π
⋅
d
3
;
Radius of inertia:
i
x
=
i
y
=
d
4
i_{x} = i_{y} = \frac{d}{4}
i
x
=
i
y
=
4
d
download crossSection_circle.txt