Oblicz pole i obwód zacieniowanej figury.
Obliczymy to jako dwa wycinki kołowe o takim samym kącie:
α = 180°-60°= 120°
I wycinek: r = 2
II wycinek: R = 4
P = α/360° * πr² + α/360° * πR²
P = 1/3 * 4π + 1/3 * 16π
P = 4/3 * π + 16/3 * π = 20/3 *π
O = α/360° * 2πr + α/360° * 2πR + 4 + 2 + 2
O = 1/3 * 4π + 1/3 * 8π +8 = 4π+8
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Obliczymy to jako dwa wycinki kołowe o takim samym kącie:
α = 180°-60°= 120°
I wycinek: r = 2
II wycinek: R = 4
P = α/360° * πr² + α/360° * πR²
P = 1/3 * 4π + 1/3 * 16π
P = 4/3 * π + 16/3 * π = 20/3 *π
O = α/360° * 2πr + α/360° * 2πR + 4 + 2 + 2
O = 1/3 * 4π + 1/3 * 8π +8 = 4π+8