?

30 cm

15 cm

15 cm

¡Claro que no! Pero, ¿cuántas veces es más pequeña 
una tarta de 15 cm de diámetro con respecto a una 
tarta de 30 cm de diámetro?

¿Una tarta de 30 cm de diámetro es lo mismo que dos tartas de 15 cm de diámetro?

Calcula la superfície de las dos tartas.

Animación

a = 30 (slider from 1 to 30, step 1)
A = (2, 2)
c = Circle(A, a / 15.0)
B = (9, 2)
d = Circle(B, a / 30.0)
C = (12, 2)
e = Circle(C, a / 30.0)
airec = Area(c)
Textec: "Aire = " + airec
aired = Area(d)
Texted: "Aire = " + aired
airee = Area(e)
Textee: "Aire = " + airee
D = (5.567898682897329, 2.159012394236017)
E = (6.480381905693677, 2.159012394236017)
F = (5.583631152255887, 1.8443630070648624)
G = (6.464649436335119, 1.8286305377063046)
b = Segment(D, E)
f = Segment(F, G)
H = (6, -2)
t = 0 (slider from 0 to 6, step 0.1)
g = Circle(A, t)
h = Line(A, H)
I, J = Intersect(g, h)
u = Vector(A, J)
k = Translate(c, u)
K = Translate(A, u)
i = Line(J, yAxis)
L, M = Intersect(k, i)
N = Midpoint(J, L)
O = Midpoint(M, J)
j = Line(B, N)
p = Circle(B, t - 1.73)
P, Q = Intersect(p, j)
v = Vector(B, Q)
q = Translate(d, v)
R = Translate(B, v)
l = Line(C, O)
r = Circle(C, t + 1.8)
S, T = Intersect(r, l)
w = Vector(C, T)
s = Translate(e, w)
U = Point(c)
m = Line(U, A)
V, W = Intersect(c, m)
n = Segment(U, W)
c1 = Circle(W, 0.01)
d1 = Circle(U, 0.01)
a1 = OrthogonalLine(W, n)
b1 = OrthogonalLine(U, n)
Z, A1 = Intersect(c1, a1)
B1, C1 = Intersect(d1, b1)
D1 = Midpoint(C1, A1)
z = Vector(D1, A1)
u1 = Vector(D1, C1)
E1 = Midpoint(B, C)
F1 = Point(d)
G1 = Point(e)
e1 = Line(F1, B)
f1 = Line(G1, C)
H1, I1 = Intersect(d, e1)
J1, K1 = Intersect(e, f1)
v1 = Vector(B, F1)
w1 = Vector(B, I1)
z1 = Vector(C, G1)
g1 = Vector(C, K1)
h1 = Circle(E1, 0.25)
i1 = Line(E1, xAxis)
j1 = Line(E1, yAxis)
L1, M1 = Intersect(h1, j1)
N1, O1 = Intersect(h1, i1)
k1 = Segment(N1, O1)
l1 = Segment(L1, M1)
P1 = (6.244394865315311, 2.5051267201242866)
Q1 = (5.819618192634253, 1.4825162118180348)
m1 = Segment(P1, Q1)
AireG = 706.5
AIREP = 176.625
p1 = Circle(B, F1)
q1 = Circle(C, G1)
gg = Translate(c, u)
r1 = Circle(A, U)
dd = Translate(d, v)
ee = Translate(e, w)