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2010-04-08T20:20:30+02:00
P1 = x
P2 = y
P1+P2 = 45π

x+y = 45π
x/y = 1/4

x = 45π-y
45π-y /y = 1/4 |*y

x = 45π-y
45π-y = 1/4y

x = 45π-y
-y-1/4y = -45π

x = 45π-y
-5/4y = -45π |:(-5/4)

x = 45π-y
y = 36π

x = 45π-36π
y = 36π

x = 9π
y = 36π

P1:
πr² = 9π |:π
r² = 9
r = √9
r = 3

P2:
πr² = 36π |:π
r² = 36
r = √36
r = 6
Ob1 = 2πr
Ob1 = 2π*3
Ob1 = 6π
Ob2 = 2πr
Ob2 = 2π*6
Ob2 = 12π
Ob2-Ob1 = 12π-6π = 6π cm
8 3 8