Answer:
Therefore radius is 84 units.
Step-by-step explanation:
Given:
arc length = 56 pie
Central angle = θ = 120°
pi = 3.14
To Find:
Radius = r =?
Solution:
If the θ measured in degree then the arc length is given as
[tex]\textrm{arc length}=\dfrac{\theta}{360\°}\times 2\pi r[/tex]
Where r = radius, θ = Central angle
On substituting the values we get
[tex]56\pi=\dfrac{120}{360}\times 2\pi\times r\\\\r=\dfrac{3\times 56}{2}=84\\\therefore r=84\ unit[/tex]
Therefore radius is 84 units.
