Answer:
x ≈ 68.8°
Step-by-step explanation:
The length of the arc of a sector is calculated as
arc = circumference × fraction of circle , that is
6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex] = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )
2160 = 10πx ( divide both sides by 10π )
68.7549... = x , that is
x ≈ 68.8° ( to 1 dec. place )
