Θ=3[tex]\pi[/tex] radians
Step-by-step explanation:
Step 1:
Let the arc length (S) be 6[tex]\pi[/tex] units
Radius of Arc(r) = 2 units
By the basic formula to find the central angle we have
[tex]S=r*[/tex]Θ
where, S= Arc length
r= Radius of arc
Θ = Central angle
Step 2:
From the formula to find Θ,
Θ = (S/r)
Θ = ( 6[tex]\pi[/tex] ) / ( 2 )
Θ = 3[tex]\pi[/tex] radians
