Les Arcs de cercle
Author: Lysanne Vallières

N.B.   Tu peux déplacer les points A et C pour changer 
la position des angles à l'intérieur du cercle.

N.B. Il est possible de faire bouger les curseurs avec 
les flèches en mettant notre souris sur le bouton 
et en cliquant.

Un arc

Deux arcs

Calcul

Rapports

Rapports 2

a = 6.5 (slider from 0 to 15, step 0.1)
O = (4.301768953068592, 0.2615523465703979)
A = Point(Circle[O, a])
b = Segment(O, A)
c = Circle(O, A)
α = 64 (slider from 0 to 360, step 1)
β = 75 (slider from 0 to 360, step 1)
B = Rotate(A, α°, O)
γ = Angle(A, O, B)
d = Segment(O, B)
C = Point(c)
D = Rotate(C, β°, O)
δ = Angle(C, O, D)
e = Segment(C, O)
f = Segment(O, D)
g = CircleArc(O, C, D)
h = CircleArc(O, A, B)
distanceOA = Distance(O, A)
TexteOA: Name[O] + (Name[A]) + " \, = \, " + distanceOA
texte1: "Rayon = " + distanceOA + " cm"
texte2: "La mesure de l'angle 1 = " + α + " °"
texte3: "La mesure de l'angle 2 = " + β + " °"
texte4: α + " °"
texte5: β + " °"
circonférencec = Circumference(c)
Textec: "Circonférence = " + circonférencec + " cm"
A2: β * Circumference[c] / 360
A1: α * Circumference[c] / 360
texte6: "La mesure de l'arc de cercle = " + A1 + " cm"
texte7: "La mesure de l'arc de cercle = " + A2 + " cm"
texte8: "Rayon = " + (Distance[O, A]) + " cm"
E = (13, 4)
F = (28, 4)
G = (28, -8)
H = (13.057545126353792, -7.971949458483756)
poly1, e_1, f_1, g_1, h_1 = Polygon(E, F, G, H)
i = false
j = false
k = true
I = (16.890938628158846, 7.846389891696751)
J = (16.867075812274372, 4.224693140794224)
K = (22.919314079422385, 4.255415162454871)
L = (22.890938628158846, 7.846389891696751)
poly2, i_1, j_1, k_1, l = Polygon(I, J, K, L)
texte12: "$ \frac{" + (LaTeX[β]) + "°}{360°}=\frac{" + (LaTeX[A2]) + "}{" + (LaTeX[circonférencec]) + "} $"
texte11: "$ \frac{" + (LaTeX[β]) + "°}{" + (LaTeX[α]) + "°} =\frac{" + (LaTeX[A2]) + "}{" + (LaTeX[A1]) + "}$"
texte13: "$ \frac{" + (LaTeX[α]) + "°}{360°}=\frac{" + (LaTeX[A1]) + "}{" + (LaTeX[circonférencec]) + "} $"
m = false
n = false
M = (30, 3.9385559566787003)
N = (36, 3.9385559566787003)
P = (36, -6.0614440433213)
Q = (30, -6.0614440433213)
poly3, m_1, n_1, p, q = Polygon(M, N, P, Q)