pole odcinka kołowego

[magda2210]

Proszę o podpowiedź, jak obliczyć pole odcinka kołowego, gdzie promień wynosi 5cm, a miara kąta między promieniami to \(\displaystyle{ 270^{o}}\). I chodzi mi o jak najprostszy sposób, nie ze wzorem korzystającym z miary łukowej kąta.

[silicium2002]

a wiesz wgl co to jest odcinek kołowy, oraz czym się różni od wycinka kołowego

[magda2210]

wiem, ale akurat tego przykładu nie umiem sobie wyobrazić

[silicium2002]

Zauważmy, że jeśli mamy kąt 270, to jego "dopełnieniem" jest kąt 360 - 270 = 90, a więc kąt prosty, czyli mamy:

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Musisz policzyć pole zakreskowanego obszaru teraz sobie poradzisz?

[magda2210]

tak, dzięki