1.a) Podaj jakie pola mają kołą o promieniach :
3, 2/3,1 , π (czytaj pi)
b)
Podaj jakie pola mają koła o średnicach:
6, 2.5,1 , π
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1.a)
P=πr²
r=3
P=3²π=9π
r=2/3
P=(2/3)²π=4/9π
r=1
P=1²π=π
r=π
P=π²π=π³
b)
r=6:2=3
P=3²π=9π
r=2,5:2=1,25
P=1,25²π=1,5625π
r=1:2=1/2
P=(1/2)²π=1/4π
r=π/2
P=(π/2)²π=π³/4
a)
Wzór na pole koła = πr²
r = 3 ; P = πr² = π * 3² = 9
r = 2/3 ; P = πr² = π * (2/3)² = 4π/9
r = 1 ; P = πr² = π * 1² = π
r = π ; P = πr² = π * π² = π³
b)
Wzór na pole gdy dana jest srednica = πd²/4
d = 6 ; P = πd²/4 = π * 6²/4 = 36π/4 = 9π
d = 2,5 ; P = πd²/4 = π * 2,5²/4 = 6,25π/4 = 1,5625π
d = 1 ; P = πd²/4 = π * 1²/4 = π/4
d = π ; P = πd²/4 = π * π²/4 = π³/4