Question

Fie A,B (apartine) C(O,18cm).Determinati lungimea arcului mic ab,daca [AB]reprezinta latura unui poligon regulat inscris in cerc,care are:
a)4 laturi
b)3 laturi
c)6 laturi
Va rog sa ma ajutati

Answer 1

a) 4 laturi
r=18
u=360:4=90⁰
Larc=πru/180⁰ = π ×18 ×  90⁰ /180⁰=9π=28,26 cm

b) 3 laturi
r=18
u=360:3=120⁰
Larc=πru/180⁰ = π ×18 × 120⁰ /180⁰=12π=37,68 cm

c) 6 laturi
r=18
u=360:6=60⁰
Larc=πru/180⁰ = π ×18 × 60⁰ /180⁰=6π=18,84 cm