徑度量與度度量
Author: 藍邦偉  老師

$ O $

$ 徑度量與度度量 $

$ \frac{π}{12} $

$ \frac{π}{6} $

$ \frac{π}{4} $

$ \frac{π}{3} $

$ \frac{5\pi}{12} $

$ \frac{π}{2} $

$ \frac{7π}{12} $

$ \frac{2\pi}{3} $

$ \frac{3\pi}{4} $

$ \frac{5\pi}{6} $

$ \frac{11\pi}{12} $

$ \pi $

$ \frac{13π}{12} $

$ \frac{7π}{6} $

$ \frac{5π}{4} $

$ \frac{4π}{3} $

$ \frac{17π}{12} $

$ \frac{3π}{2} $

$ \frac{19π}{12} $

$ \frac{5π}{3} $

$ \frac{7π}{4} $

$ \frac{11π}{6} $

$ \frac{23π}{12} $

$ 360°=2π $

$ 特別角的徑度量 $

1

$ 0°=0 $

2

$  弧長等於半徑所對的圓心角$
$稱為\;1\;徑 或\;1\;弧度 $

$ 1 $

1

$ 2 $

2

$ 3 $

3

$ \pi $

$ π=180° $

$ 徑度量 $

$ 弧長為半徑的\;2\;倍長所對的$
$圓心角稱為\;2\;徑 $

$ 弧長為半徑的\;3\;倍長所對的$
$圓心角稱為\;3\;徑 $

$  弧長為半徑的\;π\;倍長所對的$
$圓心角稱為\;π\;徑 $ 

u = Vector((x(Corner[1]), 0), (x(Corner[3]), 0))
v = Vector((0, y(Corner[1])), (0, y(Corner[3])))
O = (0, 0)
Q_2: 0.7 * Corner[1] + 0.3 * Corner[2]
Q_3: (x(Q_2), y(Corner[4]))
poly1, q_1, q_2, q_4, q_3 = Polygon(Corner[1], Q_2, Q_3, Corner[4])
c = Circle((0, 0), 1)
n = 0 (slider from 0 to 24, step 1)
A = (1, 0)
θ: n * π / 12
B: (cos(θ), sin(θ))
β = Angle(A, O, B)
a = Segment(O, B)
d = CircleArc(O, A, B)
t_β: "$ " + (LaTeX[β]) + "＝ $"
C = (-3.1383551794050546, -0.368567625187564)
D: C + (0.33, 0.07)
c_{24} = Circle((0, 0), 1)
b = false
A_1 = (0.5403023058681398, 0.8414709848078965)
e = Segment(O, A_1)
f = Segment(O, A)
g = true
h = CircleArc(O, A, A_1)
k = 0 (slider from 0 to 4, step 1)
A_2 = (-0.4161468365471424, 0.9092974268256817)
A_3 = (-0.9899924966004454, 0.1411200080598672)
A_π = (-1, 0)
i = Segment(O, A_2)
j = Segment(O, A_3)
p = CircleArc(O, A, A_2)
q = CircleArc(O, A, A_π)
l = Segment(O, A_π)
r = Semicircle(A_π, A)
E = (-3.3288472193842047, 0.7743846146873329)