Given:
Radius = 6 cm
Central angle θ = 120°
To find:
The length of arc AB
Solution:
Arc length formula:
[tex]${Arc \ length} =2 \pi r\left(\frac{\theta}{360^\circ}\right)[/tex]
[tex]$=2 \times 3.14\times 6 \left(\frac{120^\circ}{360^\circ}\right)[/tex]
[tex]$=2 \times 3.14\times 6 \left(\frac{1}{3}\right)[/tex]
[tex]$=2 \times 3.14\times 2[/tex]
= 12.56 cm
The length of arc AB is 12.56 cm.
