Question

Dużo punktów!

Oblicz długość łuku i pole wycinka koła o:
a) r = 12, α= 30°
b) r = 20, α= 90°
c) r = 10, α= 120°
d) r = 2, α= 180°

Answer 1

A) x = 30`/360`  * 2pi12
x = 1/12 * 24pi
x = 2pi
Pw = 30/360 * pi 12²
Pw = 1/12 * 144 pi
Pw = 12 pi

b) x = 90/360 * 2pi20
x = 1/4 * 40pi
x = 10pi
Pw = 90/360 * pi20²
Pw = 1/4 * 200pi 
Pw = 50pi

c)  tego nie ogarniam

d) x = 180/360 * 2pi2
x = 1/2 * 4pi
x = 2pi
Pw = 180/360 * pi2²
Pw = 1/2 * 4pi
Pw = 2pi